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Finding the Third Proportional to 109,242,933 and 234,067,863

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Solution

The third proportional to 109,242,933 and 234,067,863 is: 501,522,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,933 : 234,067,863 = 234,067,863 : x
  2. Step 2: Convert to fraction form
    109,242,933/234,067,863 = 234,067,863/x
  3. Step 3: Cross multiply
    109,242,933x = 234,067,863 × 234,067,863
  4. Step 4: Simplify right side
    109,242,933x = 54,787,764,489,386,768
  5. Step 5: Solve for x
    x = 54,787,764,489,386,768/109,242,933
  6. Step 6: Final answer
    x = 501,522,276.86

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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.