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Finding the Third Proportional to 109,242,974.25 and 234,067,948.88

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Solution

The third proportional to 109,242,974.25 and 234,067,948.88 is: 501,522,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,974.25 : 234,067,948.88 = 234,067,948.88 : x
  2. Step 2: Convert to fraction form
    109,242,974.25/234,067,948.88 = 234,067,948.88/x
  3. Step 3: Cross multiply
    109,242,974.25x = 234,067,948.88 × 234,067,948.88
  4. Step 4: Simplify right side
    109,242,974.25x = 54,787,804,690,549,616
  5. Step 5: Solve for x
    x = 54,787,804,690,549,616/109,242,974.25
  6. Step 6: Final answer
    x = 501,522,455.49

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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.