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Finding the Third Proportional to 32,221.13 and 69,202.69

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Solution

The third proportional to 32,221.13 and 69,202.69 is: 148,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221.13 : 69,202.69 = 69,202.69 : x
  2. Step 2: Convert to fraction form
    32,221.13/69,202.69 = 69,202.69/x
  3. Step 3: Cross multiply
    32,221.13x = 69,202.69 × 69,202.69
  4. Step 4: Simplify right side
    32,221.13x = 4,789,011,957.22
  5. Step 5: Solve for x
    x = 4,789,011,957.22/32,221.13
  6. Step 6: Final answer
    x = 148,629.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.