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Finding the Third Proportional to 101,847.75 and 149,650.50

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Solution

The third proportional to 101,847.75 and 149,650.50 is: 219,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,847.75 : 149,650.50 = 149,650.50 : x
  2. Step 2: Convert to fraction form
    101,847.75/149,650.50 = 149,650.50/x
  3. Step 3: Cross multiply
    101,847.75x = 149,650.50 × 149,650.50
  4. Step 4: Simplify right side
    101,847.75x = 22,395,272,150.25
  5. Step 5: Solve for x
    x = 22,395,272,150.25/101,847.75
  6. Step 6: Final answer
    x = 219,889.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.