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Finding the Third Proportional to 39,396.38 and 86,442.19

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Solution

The third proportional to 39,396.38 and 86,442.19 is: 189,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,396.38 : 86,442.19 = 86,442.19 : x
  2. Step 2: Convert to fraction form
    39,396.38/86,442.19 = 86,442.19/x
  3. Step 3: Cross multiply
    39,396.38x = 86,442.19 × 86,442.19
  4. Step 4: Simplify right side
    39,396.38x = 7,472,251,779.79
  5. Step 5: Solve for x
    x = 7,472,251,779.79/39,396.38
  6. Step 6: Final answer
    x = 189,668.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.