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Finding the Third Proportional to 80,047.13 and 168,910.31

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Solution

The third proportional to 80,047.13 and 168,910.31 is: 356,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,047.13 : 168,910.31 = 168,910.31 : x
  2. Step 2: Convert to fraction form
    80,047.13/168,910.31 = 168,910.31/x
  3. Step 3: Cross multiply
    80,047.13x = 168,910.31 × 168,910.31
  4. Step 4: Simplify right side
    80,047.13x = 28,530,693,668.85
  5. Step 5: Solve for x
    x = 28,530,693,668.85/80,047.13
  6. Step 6: Final answer
    x = 356,423.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.