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Finding the Third Proportional to 80,320.99 and 176,407.08

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Solution

The third proportional to 80,320.99 and 176,407.08 is: 387,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,320.99 : 176,407.08 = 176,407.08 : x
  2. Step 2: Convert to fraction form
    80,320.99/176,407.08 = 176,407.08/x
  3. Step 3: Cross multiply
    80,320.99x = 176,407.08 × 176,407.08
  4. Step 4: Simplify right side
    80,320.99x = 31,119,459,279.87
  5. Step 5: Solve for x
    x = 31,119,459,279.87/80,320.99
  6. Step 6: Final answer
    x = 387,438.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.