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Finding the Third Proportional to 81,912,380 and 175,981,180

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Solution

The third proportional to 81,912,380 and 175,981,180 is: 378,079,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912,380 : 175,981,180 = 175,981,180 : x
  2. Step 2: Convert to fraction form
    81,912,380/175,981,180 = 175,981,180/x
  3. Step 3: Cross multiply
    81,912,380x = 175,981,180 × 175,981,180
  4. Step 4: Simplify right side
    81,912,380x = 30,969,375,714,192,400
  5. Step 5: Solve for x
    x = 30,969,375,714,192,400/81,912,380
  6. Step 6: Final answer
    x = 378,079,305.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.