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Finding the Third Proportional to 80,987.34 and 168,193.97

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Solution

The third proportional to 80,987.34 and 168,193.97 is: 349,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,987.34 : 168,193.97 = 168,193.97 : x
  2. Step 2: Convert to fraction form
    80,987.34/168,193.97 = 168,193.97/x
  3. Step 3: Cross multiply
    80,987.34x = 168,193.97 × 168,193.97
  4. Step 4: Simplify right side
    80,987.34x = 28,289,211,123.88
  5. Step 5: Solve for x
    x = 28,289,211,123.88/80,987.34
  6. Step 6: Final answer
    x = 349,304.10

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