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Finding the Third Proportional to 84,884.25 and 179,887.13

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Solution

The third proportional to 84,884.25 and 179,887.13 is: 381,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,884.25 : 179,887.13 = 179,887.13 : x
  2. Step 2: Convert to fraction form
    84,884.25/179,887.13 = 179,887.13/x
  3. Step 3: Cross multiply
    84,884.25x = 179,887.13 × 179,887.13
  4. Step 4: Simplify right side
    84,884.25x = 32,359,377,740.77
  5. Step 5: Solve for x
    x = 32,359,377,740.77/84,884.25
  6. Step 6: Final answer
    x = 381,217.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.