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Finding the Third Proportional to 231,854,812.31 and 500,029,269.19

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Solution

The third proportional to 231,854,812.31 and 500,029,269.19 is: 1,078,387,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854,812.31 : 500,029,269.19 = 500,029,269.19 : x
  2. Step 2: Convert to fraction form
    231,854,812.31/500,029,269.19 = 500,029,269.19/x
  3. Step 3: Cross multiply
    231,854,812.31x = 500,029,269.19 × 500,029,269.19
  4. Step 4: Simplify right side
    231,854,812.31x = 250,029,270,044,185,344
  5. Step 5: Solve for x
    x = 250,029,270,044,185,344/231,854,812.31
  6. Step 6: Final answer
    x = 1,078,387,235.32

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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.