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Finding the Third Proportional to 101,571.75 and 218,752.75

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Solution

The third proportional to 101,571.75 and 218,752.75 is: 471,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,571.75 : 218,752.75 = 218,752.75 : x
  2. Step 2: Convert to fraction form
    101,571.75/218,752.75 = 218,752.75/x
  3. Step 3: Cross multiply
    101,571.75x = 218,752.75 × 218,752.75
  4. Step 4: Simplify right side
    101,571.75x = 47,852,765,632.56
  5. Step 5: Solve for x
    x = 47,852,765,632.56/101,571.75
  6. Step 6: Final answer
    x = 471,122.78

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Why These Related Problems?

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