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Finding the Third Proportional to 81,912,382 and 175,981,184

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Solution

The third proportional to 81,912,382 and 175,981,184 is: 378,079,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912,382 : 175,981,184 = 175,981,184 : x
  2. Step 2: Convert to fraction form
    81,912,382/175,981,184 = 175,981,184/x
  3. Step 3: Cross multiply
    81,912,382x = 175,981,184 × 175,981,184
  4. Step 4: Simplify right side
    81,912,382x = 30,969,377,122,041,856
  5. Step 5: Solve for x
    x = 30,969,377,122,041,856/81,912,382
  6. Step 6: Final answer
    x = 378,079,313.11

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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.