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Finding the Third Proportional to 80,801.30 and 171,816.19

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Solution

The third proportional to 80,801.30 and 171,816.19 is: 365,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,801.30 : 171,816.19 = 171,816.19 : x
  2. Step 2: Convert to fraction form
    80,801.30/171,816.19 = 171,816.19/x
  3. Step 3: Cross multiply
    80,801.30x = 171,816.19 × 171,816.19
  4. Step 4: Simplify right side
    80,801.30x = 29,520,802,287.04
  5. Step 5: Solve for x
    x = 29,520,802,287.04/80,801.30
  6. Step 6: Final answer
    x = 365,350.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.