Jeremiah would like to replace the carpet in the dining room. The dimensions of the dining room are 128 inches x 95 inches and it is suggested to order 10% more flooring than the true square footage to account for waste when trimming and installing. How many approximate square feet of flooring should Jeremiah should buy for his dining room?

First, we need to find the square footage of the dining room by multiplying the length and width: 128 inches * 95 inches = <<128*95=12160>>12,160 square inches

To convert this to square feet, we divide by the number of square inches in a square foot: 12,160 square inches / 144 square inches/square foot = <<12160/144=84.44444444444444>>84.44 square feet
Next, we need to add 10% to this amount to account for waste: 84.44 square feet * 1.1 = <<84.44*1.1=92.884>>92.884 square feet
Since you cannot purchase a fraction of a square foot, Jeremiah should buy approximately 93 square feet of flooring. Answer: \boxed{93}.