If a city with a population of 52,000 doubles in size every 97 years, what will the population be 291 years from now?

To find the population 291 years from now, we divide 291 by 97 to determine how many times the city doubles in size during this period.

291 divided by 97 equals 3 (with a remainder of 0).

Since the city doubles in size every 97 years, this means that it will double in size 3 times from now (since there is no remainder).

To calculate the final population, we double the current population (52,000) three times.

For the first doubling, we multiply 52,000 by 2:
52,000 * 2 = 104,000

For the second doubling, we multiply 104,000 by 2:
104,000 * 2 = 208,000

For the third doubling, we multiply 208,000 by 2:
208,000 * 2 = 416,000

Therefore, the population of the city 291 years from now will be 416,000.