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Finding the Third Proportional to 109,242,935 and 234,067,867

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Solution

The third proportional to 109,242,935 and 234,067,867 is: 501,522,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,935 : 234,067,867 = 234,067,867 : x
  2. Step 2: Convert to fraction form
    109,242,935/234,067,867 = 234,067,867/x
  3. Step 3: Cross multiply
    109,242,935x = 234,067,867 × 234,067,867
  4. Step 4: Simplify right side
    109,242,935x = 54,787,766,361,929,688
  5. Step 5: Solve for x
    x = 54,787,766,361,929,688/109,242,935
  6. Step 6: Final answer
    x = 501,522,284.82

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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.