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Finding the Third Proportional to 100,949 and 219,577

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Solution

The third proportional to 100,949 and 219,577 is: 477,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,949 : 219,577 = 219,577 : x
  2. Step 2: Convert to fraction form
    100,949/219,577 = 219,577/x
  3. Step 3: Cross multiply
    100,949x = 219,577 × 219,577
  4. Step 4: Simplify right side
    100,949x = 48,214,058,929
  5. Step 5: Solve for x
    x = 48,214,058,929/100,949
  6. Step 6: Final answer
    x = 477,608.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.