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Finding the Third Proportional to 101,961 and 220,322

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Solution

The third proportional to 101,961 and 220,322 is: 476,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,961 : 220,322 = 220,322 : x
  2. Step 2: Convert to fraction form
    101,961/220,322 = 220,322/x
  3. Step 3: Cross multiply
    101,961x = 220,322 × 220,322
  4. Step 4: Simplify right side
    101,961x = 48,541,783,684
  5. Step 5: Solve for x
    x = 48,541,783,684/101,961
  6. Step 6: Final answer
    x = 476,081.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.