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Finding the Third Proportional to 102,427,558 and 225,285,494

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Solution

The third proportional to 102,427,558 and 225,285,494 is: 495,506,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,427,558 : 225,285,494 = 225,285,494 : x
  2. Step 2: Convert to fraction form
    102,427,558/225,285,494 = 225,285,494/x
  3. Step 3: Cross multiply
    102,427,558x = 225,285,494 × 225,285,494
  4. Step 4: Simplify right side
    102,427,558x = 50,753,553,806,824,032
  5. Step 5: Solve for x
    x = 50,753,553,806,824,032/102,427,558
  6. Step 6: Final answer
    x = 495,506,822.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.