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Finding the Third Proportional to 105,593 and 219,923

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Solution

The third proportional to 105,593 and 219,923 is: 458,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,593 : 219,923 = 219,923 : x
  2. Step 2: Convert to fraction form
    105,593/219,923 = 219,923/x
  3. Step 3: Cross multiply
    105,593x = 219,923 × 219,923
  4. Step 4: Simplify right side
    105,593x = 48,366,125,929
  5. Step 5: Solve for x
    x = 48,366,125,929/105,593
  6. Step 6: Final answer
    x = 458,042.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.