Question 14
In triangle $ABC,$ $A',$ $B',$ and $C'$ are on the sides $BC,$ $AC,$ and $AB,$ respectively. Given that $AA',$ $BB',$ and $CC'$ are concurrent at the point $O,$ and that $$
\frac{AO}{OA'}+\frac{BO}{OB'}+\frac{CO}{OC'}=92,
$$ find $$
\frac{AO}{OA'}\cdot\frac{BO}{OB'}\cdot\frac{CO}{OC'}.
$$
\frac{AO}{OA'}+\frac{BO}{OB'}+\frac{CO}{OC'}=92,
$$ find $$
\frac{AO}{OA'}\cdot\frac{BO}{OB'}\cdot\frac{CO}{OC'}.
$$