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Finding the Third Proportional to 39,394.69 and 86,443.88

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Solution

The third proportional to 39,394.69 and 86,443.88 is: 189,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,394.69 : 86,443.88 = 86,443.88 : x
  2. Step 2: Convert to fraction form
    39,394.69/86,443.88 = 86,443.88/x
  3. Step 3: Cross multiply
    39,394.69x = 86,443.88 × 86,443.88
  4. Step 4: Simplify right side
    39,394.69x = 7,472,543,525.02
  5. Step 5: Solve for x
    x = 7,472,543,525.02/39,394.69
  6. Step 6: Final answer
    x = 189,684.04

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