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Finding the Third Proportional to 101,743 and 220,996

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Solution

The third proportional to 101,743 and 220,996 is: 480,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,743 : 220,996 = 220,996 : x
  2. Step 2: Convert to fraction form
    101,743/220,996 = 220,996/x
  3. Step 3: Cross multiply
    101,743x = 220,996 × 220,996
  4. Step 4: Simplify right side
    101,743x = 48,839,232,016
  5. Step 5: Solve for x
    x = 48,839,232,016/101,743
  6. Step 6: Final answer
    x = 480,025.48

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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.