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Finding the Third Proportional to 80,090.30 and 176,167.97

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Solution

The third proportional to 80,090.30 and 176,167.97 is: 387,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,090.30 : 176,167.97 = 176,167.97 : x
  2. Step 2: Convert to fraction form
    80,090.30/176,167.97 = 176,167.97/x
  3. Step 3: Cross multiply
    80,090.30x = 176,167.97 × 176,167.97
  4. Step 4: Simplify right side
    80,090.30x = 31,035,153,213.50
  5. Step 5: Solve for x
    x = 31,035,153,213.50/80,090.30
  6. Step 6: Final answer
    x = 387,502.04

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Why These Related Problems?

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