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Finding the Third Proportional to 83,454,338 and 127,659,923

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Solution

The third proportional to 83,454,338 and 127,659,923 is: 195,281,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,454,338 : 127,659,923 = 127,659,923 : x
  2. Step 2: Convert to fraction form
    83,454,338/127,659,923 = 127,659,923/x
  3. Step 3: Cross multiply
    83,454,338x = 127,659,923 × 127,659,923
  4. Step 4: Simplify right side
    83,454,338x = 16,297,055,940,365,928
  5. Step 5: Solve for x
    x = 16,297,055,940,365,928/83,454,338
  6. Step 6: Final answer
    x = 195,281,112.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.