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Finding the Third Proportional to 231,854,487.75 and 500,028,612.75

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Solution

The third proportional to 231,854,487.75 and 500,028,612.75 is: 1,078,385,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854,487.75 : 500,028,612.75 = 500,028,612.75 : x
  2. Step 2: Convert to fraction form
    231,854,487.75/500,028,612.75 = 500,028,612.75/x
  3. Step 3: Cross multiply
    231,854,487.75x = 500,028,612.75 × 500,028,612.75
  4. Step 4: Simplify right side
    231,854,487.75x = 250,028,613,568,689,472
  5. Step 5: Solve for x
    x = 250,028,613,568,689,472/231,854,487.75
  6. Step 6: Final answer
    x = 1,078,385,913.49

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