3. Calculate the value of the product $\frac{2^{3}-1}{2^{3}+1} \cdot \frac{3^{3}-1}{3^{3}+1} \cdot \frac{4^{3}-1}{4^{3}+1} \cdot \ldots \cdot \frac{200^{3}-1}{200^{3}+1}$.
Answer: $\frac{2 \cdot\left(200^{2}+200+1\right)}{3 \cdot 200 \cdot 201}=\frac{40201}{60300}$.