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Finding the Third Proportional to 101,149.50 and 151,983.50

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Solution

The third proportional to 101,149.50 and 151,983.50 is: 228,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,149.50 : 151,983.50 = 151,983.50 : x
  2. Step 2: Convert to fraction form
    101,149.50/151,983.50 = 151,983.50/x
  3. Step 3: Cross multiply
    101,149.50x = 151,983.50 × 151,983.50
  4. Step 4: Simplify right side
    101,149.50x = 23,098,984,272.25
  5. Step 5: Solve for x
    x = 23,098,984,272.25/101,149.50
  6. Step 6: Final answer
    x = 228,364.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.