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Finding the Third Proportional to 42,400.13 and 88,288.31

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Solution

The third proportional to 42,400.13 and 88,288.31 is: 183,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,400.13 : 88,288.31 = 88,288.31 : x
  2. Step 2: Convert to fraction form
    42,400.13/88,288.31 = 88,288.31/x
  3. Step 3: Cross multiply
    42,400.13x = 88,288.31 × 88,288.31
  4. Step 4: Simplify right side
    42,400.13x = 7,794,826,124.10
  5. Step 5: Solve for x
    x = 7,794,826,124.10/42,400.13
  6. Step 6: Final answer
    x = 183,839.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.