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Finding the Third Proportional to 36,215.44 and 80,206.88

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Solution

The third proportional to 36,215.44 and 80,206.88 is: 177,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,215.44 : 80,206.88 = 80,206.88 : x
  2. Step 2: Convert to fraction form
    36,215.44/80,206.88 = 80,206.88/x
  3. Step 3: Cross multiply
    36,215.44x = 80,206.88 × 80,206.88
  4. Step 4: Simplify right side
    36,215.44x = 6,433,142,797.27
  5. Step 5: Solve for x
    x = 6,433,142,797.27/36,215.44
  6. Step 6: Final answer
    x = 177,635.37

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.