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Finding the Third Proportional to 103,863,624 and 224,962,721

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Solution

The third proportional to 103,863,624 and 224,962,721 is: 487,256,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,863,624 : 224,962,721 = 224,962,721 : x
  2. Step 2: Convert to fraction form
    103,863,624/224,962,721 = 224,962,721/x
  3. Step 3: Cross multiply
    103,863,624x = 224,962,721 × 224,962,721
  4. Step 4: Simplify right side
    103,863,624x = 50,608,225,839,723,840
  5. Step 5: Solve for x
    x = 50,608,225,839,723,840/103,863,624
  6. Step 6: Final answer
    x = 487,256,499.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.