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Finding the Third Proportional to 101,447.44 and 158,311.97

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Solution

The third proportional to 101,447.44 and 158,311.97 is: 247,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,447.44 : 158,311.97 = 158,311.97 : x
  2. Step 2: Convert to fraction form
    101,447.44/158,311.97 = 158,311.97/x
  3. Step 3: Cross multiply
    101,447.44x = 158,311.97 × 158,311.97
  4. Step 4: Simplify right side
    101,447.44x = 25,062,679,449.50
  5. Step 5: Solve for x
    x = 25,062,679,449.50/101,447.44
  6. Step 6: Final answer
    x = 247,050.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.