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Finding the Third Proportional to 101,761.31 and 223,472.67

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Solution

The third proportional to 101,761.31 and 223,472.67 is: 490,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,761.31 : 223,472.67 = 223,472.67 : x
  2. Step 2: Convert to fraction form
    101,761.31/223,472.67 = 223,472.67/x
  3. Step 3: Cross multiply
    101,761.31x = 223,472.67 × 223,472.67
  4. Step 4: Simplify right side
    101,761.31x = 49,940,035,074.95
  5. Step 5: Solve for x
    x = 49,940,035,074.95/101,761.31
  6. Step 6: Final answer
    x = 490,756.59

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Why These Related Problems?

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