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Finding the Third Proportional to 88,279.31 and 192,961.13

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Solution

The third proportional to 88,279.31 and 192,961.13 is: 421,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,279.31 : 192,961.13 = 192,961.13 : x
  2. Step 2: Convert to fraction form
    88,279.31/192,961.13 = 192,961.13/x
  3. Step 3: Cross multiply
    88,279.31x = 192,961.13 × 192,961.13
  4. Step 4: Simplify right side
    88,279.31x = 37,233,995,761.27
  5. Step 5: Solve for x
    x = 37,233,995,761.27/88,279.31
  6. Step 6: Final answer
    x = 421,774.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.