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Finding the Third Proportional to 101,715.75 and 150,499.69

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Solution

The third proportional to 101,715.75 and 150,499.69 is: 222,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,715.75 : 150,499.69 = 150,499.69 : x
  2. Step 2: Convert to fraction form
    101,715.75/150,499.69 = 150,499.69/x
  3. Step 3: Cross multiply
    101,715.75x = 150,499.69 × 150,499.69
  4. Step 4: Simplify right side
    101,715.75x = 22,650,155,937.60
  5. Step 5: Solve for x
    x = 22,650,155,937.60/101,715.75
  6. Step 6: Final answer
    x = 222,680.91

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.