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Finding the Third Proportional to 36,388.13 and 78,091.88

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Solution

The third proportional to 36,388.13 and 78,091.88 is: 167,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,388.13 : 78,091.88 = 78,091.88 : x
  2. Step 2: Convert to fraction form
    36,388.13/78,091.88 = 78,091.88/x
  3. Step 3: Cross multiply
    36,388.13x = 78,091.88 × 78,091.88
  4. Step 4: Simplify right side
    36,388.13x = 6,098,340,941.02
  5. Step 5: Solve for x
    x = 6,098,340,941.02/36,388.13
  6. Step 6: Final answer
    x = 167,591.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.