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Finding the Third Proportional to 39,703.92 and 85,160.11

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Solution

The third proportional to 39,703.92 and 85,160.11 is: 182,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,703.92 : 85,160.11 = 85,160.11 : x
  2. Step 2: Convert to fraction form
    39,703.92/85,160.11 = 85,160.11/x
  3. Step 3: Cross multiply
    39,703.92x = 85,160.11 × 85,160.11
  4. Step 4: Simplify right side
    39,703.92x = 7,252,244,228.76
  5. Step 5: Solve for x
    x = 7,252,244,228.76/39,703.92
  6. Step 6: Final answer
    x = 182,658.13

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.