For each kilogram of a​ person's weight, 2.5 milligrams of a drug is to be given. What dosage should be given to a child who weighs 102102 ​pounds? Use the fact that 1 l b equals 0.45 kg.

102lb * 0.45kg/lb * 2.5mg/kg = 114.75 mg

To find the dosage of the drug for a child who weighs 102102 pounds, we need to convert the weight from pounds to kilograms and then calculate the dosage.

1 lb = 0.45 kg (given conversion factor)

Weight in kilograms = Weight in pounds × Conversion factor
Weight in kilograms = 102102 lb × 0.45 kg/lb

Weight in kilograms = 45945.9 kg

Now, we can calculate the dosage:

Dosage = Weight in kilograms × Dosage per kilogram
Dosage = 45945.9 kg × 2.5 mg/kg

Dosage = 114864.75 mg

Therefore, the dosage that should be given to a child who weighs 102102 pounds is 114,864.75 milligrams.

To find the dosage that should be given to a child who weighs 102102 pounds, we need to convert the weight from pounds to kilograms and then calculate the dosage.

Step 1: Convert pounds to kilograms.
Given that 1 lb equals 0.45 kg, we can calculate the weight of the child in kilograms.
Weight in kilograms = Weight in pounds × Conversion factor
Weight in kilograms = 102102 lb × 0.45 kg/lb

Weight in kilograms = 45945.9 kg (rounded to one decimal place)

Step 2: Calculate the dosage.
The dosage for each kilogram of a person's weight is 2.5 milligrams.
Dosage = Weight in kilograms × Dosage per kilogram
Dosage = 45945.9 kg × 2.5 mg/kg

Dosage = 114864.75 mg (rounded to two decimal places)

Therefore, the dosage that should be given to a child who weighs 102102 pounds is approximately 114864.75 milligrams.