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Finding the Third Proportional to 101,744.75 and 220,996.75

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Solution

The third proportional to 101,744.75 and 220,996.75 is: 480,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,744.75 : 220,996.75 = 220,996.75 : x
  2. Step 2: Convert to fraction form
    101,744.75/220,996.75 = 220,996.75/x
  3. Step 3: Cross multiply
    101,744.75x = 220,996.75 × 220,996.75
  4. Step 4: Simplify right side
    101,744.75x = 48,839,563,510.56
  5. Step 5: Solve for x
    x = 48,839,563,510.56/101,744.75
  6. Step 6: Final answer
    x = 480,020.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.