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Finding the Third Proportional to 83,949.56 and 181,431

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Solution

The third proportional to 83,949.56 and 181,431 is: 392,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,949.56 : 181,431 = 181,431 : x
  2. Step 2: Convert to fraction form
    83,949.56/181,431 = 181,431/x
  3. Step 3: Cross multiply
    83,949.56x = 181,431 × 181,431
  4. Step 4: Simplify right side
    83,949.56x = 32,917,207,761
  5. Step 5: Solve for x
    x = 32,917,207,761/83,949.56
  6. Step 6: Final answer
    x = 392,106.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.