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Finding the Third Proportional to 39,211.59 and 85,910.63

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Solution

The third proportional to 39,211.59 and 85,910.63 is: 188,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,211.59 : 85,910.63 = 85,910.63 : x
  2. Step 2: Convert to fraction form
    39,211.59/85,910.63 = 85,910.63/x
  3. Step 3: Cross multiply
    39,211.59x = 85,910.63 × 85,910.63
  4. Step 4: Simplify right side
    39,211.59x = 7,380,635,487.89
  5. Step 5: Solve for x
    x = 7,380,635,487.89/39,211.59
  6. Step 6: Final answer
    x = 188,225.85

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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.