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Finding the Third Proportional to 103,327,856 and 224,815,120

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Solution

The third proportional to 103,327,856 and 224,815,120 is: 489,140,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,327,856 : 224,815,120 = 224,815,120 : x
  2. Step 2: Convert to fraction form
    103,327,856/224,815,120 = 224,815,120/x
  3. Step 3: Cross multiply
    103,327,856x = 224,815,120 × 224,815,120
  4. Step 4: Simplify right side
    103,327,856x = 50,541,838,180,614,400
  5. Step 5: Solve for x
    x = 50,541,838,180,614,400/103,327,856
  6. Step 6: Final answer
    x = 489,140,490.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.