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Finding the Third Proportional to 95,899.50 and 150,439.50

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Solution

The third proportional to 95,899.50 and 150,439.50 is: 235,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,899.50 : 150,439.50 = 150,439.50 : x
  2. Step 2: Convert to fraction form
    95,899.50/150,439.50 = 150,439.50/x
  3. Step 3: Cross multiply
    95,899.50x = 150,439.50 × 150,439.50
  4. Step 4: Simplify right side
    95,899.50x = 22,632,043,160.25
  5. Step 5: Solve for x
    x = 22,632,043,160.25/95,899.50
  6. Step 6: Final answer
    x = 235,997.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.