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Finding the Third Proportional to 78,232.88 and 168,937.13

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Solution

The third proportional to 78,232.88 and 168,937.13 is: 364,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,232.88 : 168,937.13 = 168,937.13 : x
  2. Step 2: Convert to fraction form
    78,232.88/168,937.13 = 168,937.13/x
  3. Step 3: Cross multiply
    78,232.88x = 168,937.13 × 168,937.13
  4. Step 4: Simplify right side
    78,232.88x = 28,539,752,203.27
  5. Step 5: Solve for x
    x = 28,539,752,203.27/78,232.88
  6. Step 6: Final answer
    x = 364,805.11

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Why These Related Problems?

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