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Finding the Third Proportional to 101,672.72 and 223,291.69

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Solution

The third proportional to 101,672.72 and 223,291.69 is: 490,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,672.72 : 223,291.69 = 223,291.69 : x
  2. Step 2: Convert to fraction form
    101,672.72/223,291.69 = 223,291.69/x
  3. Step 3: Cross multiply
    101,672.72x = 223,291.69 × 223,291.69
  4. Step 4: Simplify right side
    101,672.72x = 49,859,177,706.60
  5. Step 5: Solve for x
    x = 49,859,177,706.60/101,672.72
  6. Step 6: Final answer
    x = 490,388.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.