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Finding the Third Proportional to 101,622.38 and 150,964.31

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Solution

The third proportional to 101,622.38 and 150,964.31 is: 224,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,622.38 : 150,964.31 = 150,964.31 : x
  2. Step 2: Convert to fraction form
    101,622.38/150,964.31 = 150,964.31/x
  3. Step 3: Cross multiply
    101,622.38x = 150,964.31 × 150,964.31
  4. Step 4: Simplify right side
    101,622.38x = 22,790,223,648.60
  5. Step 5: Solve for x
    x = 22,790,223,648.60/101,622.38
  6. Step 6: Final answer
    x = 224,263.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.