First, let's solve the equation 26.34 * 12.5 + 80.75:

26.34 * 12.5 = 329.25
329.25 + 80.75 = 410

Next, let's solve the equation 45 2/3 ÷ 10 7/13 * 95 8/13:

Convert the mixed numbers to improper fractions:
45 2/3 = 137/3
10 7/13 = 137/13
95 8/13 = 1238/13

Now, divide 137/3 by 137/13:
(137/3) ÷ (137/13) = (137/3) * (13/137) = 1

Finally, multiply the result by 1238/13:
1 * 1238/13 = 1238/13 = 95.23

Therefore, 45 2/3 ÷ 10 7/13 * 95 8/13 = 95.23.