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Finding the Third Proportional to 231,854,753.81 and 500,029,147.69

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Solution

The third proportional to 231,854,753.81 and 500,029,147.69 is: 1,078,386,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854,753.81 : 500,029,147.69 = 500,029,147.69 : x
  2. Step 2: Convert to fraction form
    231,854,753.81/500,029,147.69 = 500,029,147.69/x
  3. Step 3: Cross multiply
    231,854,753.81x = 500,029,147.69 × 500,029,147.69
  4. Step 4: Simplify right side
    231,854,753.81x = 250,029,148,537,087,680
  5. Step 5: Solve for x
    x = 250,029,148,537,087,680/231,854,753.81
  6. Step 6: Final answer
    x = 1,078,386,983.34

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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.