Finding the Third Proportional to 125,587,386,900 and 193,036,817,808
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Solution
The third proportional to 125,587,386,900 and 193,036,817,808 is: 296,711,428,983.79
Step by Step Solution
- Step 1: Write the proportion equation
125,587,386,900 : 193,036,817,808 = 193,036,817,808 : x - Step 2: Convert to fraction form
125,587,386,900/193,036,817,808 = 193,036,817,808/x - Step 3: Cross multiply
125,587,386,900x = 193,036,817,808 × 193,036,817,808 - Step 4: Simplify right side
125,587,386,900x = 37,263,213,029,438,984,814,592 - Step 5: Solve for x
x = 37,263,213,029,438,984,814,592/125,587,386,900 - Step 6: Final answer
x = 296,711,428,983.79
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.