Kehinde took a loan in the amount of $$448,000$ in order to purchase a townhouse. Interest is charged at the rate of $5\mathrm{.}52\%,$ compounded annually. Kehinde will make monthly payments in the amount of $$3,486$ at the end of each payment period for $16$ years.

Determine the amount of principal paid between payments numbered $88$ and $102$ inclusive.

Principal Paid $=$$