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Finding the Third Proportional to 80,811.70 and 171,473.99

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Solution

The third proportional to 80,811.70 and 171,473.99 is: 363,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,811.70 : 171,473.99 = 171,473.99 : x
  2. Step 2: Convert to fraction form
    80,811.70/171,473.99 = 171,473.99/x
  3. Step 3: Cross multiply
    80,811.70x = 171,473.99 × 171,473.99
  4. Step 4: Simplify right side
    80,811.70x = 29,403,329,996.72
  5. Step 5: Solve for x
    x = 29,403,329,996.72/80,811.70
  6. Step 6: Final answer
    x = 363,849.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.