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Finding the Third Proportional to 88,644.38 and 192,057.75

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Solution

The third proportional to 88,644.38 and 192,057.75 is: 416,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,644.38 : 192,057.75 = 192,057.75 : x
  2. Step 2: Convert to fraction form
    88,644.38/192,057.75 = 192,057.75/x
  3. Step 3: Cross multiply
    88,644.38x = 192,057.75 × 192,057.75
  4. Step 4: Simplify right side
    88,644.38x = 36,886,179,335.06
  5. Step 5: Solve for x
    x = 36,886,179,335.06/88,644.38
  6. Step 6: Final answer
    x = 416,114.16

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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.