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Finding the Third Proportional to 231,854,761.69 and 500,029,165.13

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Solution

The third proportional to 231,854,761.69 and 500,029,165.13 is: 1,078,387,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854,761.69 : 500,029,165.13 = 500,029,165.13 : x
  2. Step 2: Convert to fraction form
    231,854,761.69/500,029,165.13 = 500,029,165.13/x
  3. Step 3: Cross multiply
    231,854,761.69x = 500,029,165.13 × 500,029,165.13
  4. Step 4: Simplify right side
    231,854,761.69x = 250,029,165,975,604,512
  5. Step 5: Solve for x
    x = 250,029,165,975,604,512/231,854,761.69
  6. Step 6: Final answer
    x = 1,078,387,021.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.