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Finding the Third Proportional to 83,646,043 and 181,188,279

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Solution

The third proportional to 83,646,043 and 181,188,279 is: 392,477,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646,043 : 181,188,279 = 181,188,279 : x
  2. Step 2: Convert to fraction form
    83,646,043/181,188,279 = 181,188,279/x
  3. Step 3: Cross multiply
    83,646,043x = 181,188,279 × 181,188,279
  4. Step 4: Simplify right side
    83,646,043x = 32,829,192,446,981,840
  5. Step 5: Solve for x
    x = 32,829,192,446,981,840/83,646,043
  6. Step 6: Final answer
    x = 392,477,531.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.