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Finding the Third Proportional to 47,285,484 and 102,115,416

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Solution

The third proportional to 47,285,484 and 102,115,416 is: 220,523,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,285,484 : 102,115,416 = 102,115,416 : x
  2. Step 2: Convert to fraction form
    47,285,484/102,115,416 = 102,115,416/x
  3. Step 3: Cross multiply
    47,285,484x = 102,115,416 × 102,115,416
  4. Step 4: Simplify right side
    47,285,484x = 10,427,558,184,853,056
  5. Step 5: Solve for x
    x = 10,427,558,184,853,056/47,285,484
  6. Step 6: Final answer
    x = 220,523,452.50

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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.