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Finding the Third Proportional to 129,748,648.50 and 284,142,868.31

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Solution

The third proportional to 129,748,648.50 and 284,142,868.31 is: 622,258,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,748,648.50 : 284,142,868.31 = 284,142,868.31 : x
  2. Step 2: Convert to fraction form
    129,748,648.50/284,142,868.31 = 284,142,868.31/x
  3. Step 3: Cross multiply
    129,748,648.50x = 284,142,868.31 × 284,142,868.31
  4. Step 4: Simplify right side
    129,748,648.50x = 80,737,169,612,854,720
  5. Step 5: Solve for x
    x = 80,737,169,612,854,720/129,748,648.50
  6. Step 6: Final answer
    x = 622,258,270.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.