Finding the Third Proportional to 137,186,965,433.25 and 297,170,159,022
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Solution
The third proportional to 137,186,965,433.25 and 297,170,159,022 is: 643,720,802,003.81
Step by Step Solution
- Step 1: Write the proportion equation
137,186,965,433.25 : 297,170,159,022 = 297,170,159,022 : x - Step 2: Convert to fraction form
137,186,965,433.25/297,170,159,022 = 297,170,159,022/x - Step 3: Cross multiply
137,186,965,433.25x = 297,170,159,022 × 297,170,159,022 - Step 4: Simplify right side
137,186,965,433.25x = 88,310,103,413,160,771,846,144 - Step 5: Solve for x
x = 88,310,103,413,160,771,846,144/137,186,965,433.25 - Step 6: Final answer
x = 643,720,802,003.81
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.