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Finding the Third Proportional to 84,002.91 and 181,377.56

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Solution

The third proportional to 84,002.91 and 181,377.56 is: 391,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002.91 : 181,377.56 = 181,377.56 : x
  2. Step 2: Convert to fraction form
    84,002.91/181,377.56 = 181,377.56/x
  3. Step 3: Cross multiply
    84,002.91x = 181,377.56 × 181,377.56
  4. Step 4: Simplify right side
    84,002.91x = 32,897,820,178.44
  5. Step 5: Solve for x
    x = 32,897,820,178.44/84,002.91
  6. Step 6: Final answer
    x = 391,627.17

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