The exponential function given by $H(t)=80,031.11(1.0485)^{t}$, where $t$ is the number of years after 1996 , can be used to project the number of centenarians in a certain country. Use this function to project the centenarian population in this country in 1999 and in 2025. The centenarian population in 1999 is approximately $\square$. (Round to the nearest whole number)

Step 1 ：Given the exponential function \(H(t)=80,031.11(1.0485)^{t}\), where \(t\) is the number of years after 1996, we can use this function to project the number of centenarians in a certain country.

Step 2 ：We are asked to find the centenarian population in this country in 1999 and in 2025.

Step 3 ：First, let's calculate the population for the year 1999. We subtract 1996 from 1999 to get \(t = 3\).

Step 4 ：Substitute \(t = 3\) into the function to get the population for the year 1999: \(H(3) = 80,031.11(1.0485)^{3}\).

Step 5 ：Calculate the value to get the approximate population for the year 1999, rounding to the nearest whole number, we get \(92,250\).

Step 6 ：\(\boxed{92250}\) is the projected centenarian population in 1999.