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Finding the Third Proportional to 109,242,937 and 234,067,871

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Solution

The third proportional to 109,242,937 and 234,067,871 is: 501,522,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,937 : 234,067,871 = 234,067,871 : x
  2. Step 2: Convert to fraction form
    109,242,937/234,067,871 = 234,067,871/x
  3. Step 3: Cross multiply
    109,242,937x = 234,067,871 × 234,067,871
  4. Step 4: Simplify right side
    109,242,937x = 54,787,768,234,472,640
  5. Step 5: Solve for x
    x = 54,787,768,234,472,640/109,242,937
  6. Step 6: Final answer
    x = 501,522,292.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.