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Finding the Third Proportional to 39,091.50 and 92,188.50

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Solution

The third proportional to 39,091.50 and 92,188.50 is: 217,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,091.50 : 92,188.50 = 92,188.50 : x
  2. Step 2: Convert to fraction form
    39,091.50/92,188.50 = 92,188.50/x
  3. Step 3: Cross multiply
    39,091.50x = 92,188.50 × 92,188.50
  4. Step 4: Simplify right side
    39,091.50x = 8,498,719,532.25
  5. Step 5: Solve for x
    x = 8,498,719,532.25/39,091.50
  6. Step 6: Final answer
    x = 217,405.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.