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Finding the Third Proportional to 39,194.25 and 86,191.88

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Solution

The third proportional to 39,194.25 and 86,191.88 is: 189,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,194.25 : 86,191.88 = 86,191.88 : x
  2. Step 2: Convert to fraction form
    39,194.25/86,191.88 = 86,191.88/x
  3. Step 3: Cross multiply
    39,194.25x = 86,191.88 × 86,191.88
  4. Step 4: Simplify right side
    39,194.25x = 7,429,039,316.02
  5. Step 5: Solve for x
    x = 7,429,039,316.02/39,194.25
  6. Step 6: Final answer
    x = 189,544.11

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