Telescoping Product Trick

Compute $$\frac{(4 \times 7 + 2)(6 \times 9 + 2)(8 \times 11 + 2)\cdots(100 \times 103 + 2)}{(5 \times 8 + 2)(7 \times 10 + 2)(9 \times 12 + 2)\cdots(99 \times 102 + 2)}$$