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Finding the Third Proportional to 102,427,560 and 225,285,496

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Solution

The third proportional to 102,427,560 and 225,285,496 is: 495,506,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,427,560 : 225,285,496 = 225,285,496 : x
  2. Step 2: Convert to fraction form
    102,427,560/225,285,496 = 225,285,496/x
  3. Step 3: Cross multiply
    102,427,560x = 225,285,496 × 225,285,496
  4. Step 4: Simplify right side
    102,427,560x = 50,753,554,707,966,016
  5. Step 5: Solve for x
    x = 50,753,554,707,966,016/102,427,560
  6. Step 6: Final answer
    x = 495,506,821.68

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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.