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Finding the Third Proportional to 39,194.50 and 86,192.38

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Solution

The third proportional to 39,194.50 and 86,192.38 is: 189,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,194.50 : 86,192.38 = 86,192.38 : x
  2. Step 2: Convert to fraction form
    39,194.50/86,192.38 = 86,192.38/x
  3. Step 3: Cross multiply
    39,194.50x = 86,192.38 × 86,192.38
  4. Step 4: Simplify right side
    39,194.50x = 7,429,125,508.14
  5. Step 5: Solve for x
    x = 7,429,125,508.14/39,194.50
  6. Step 6: Final answer
    x = 189,545.10

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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.