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Finding the Third Proportional to 104,216.50 and 219,917

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Solution

The third proportional to 104,216.50 and 219,917 is: 464,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,216.50 : 219,917 = 219,917 : x
  2. Step 2: Convert to fraction form
    104,216.50/219,917 = 219,917/x
  3. Step 3: Cross multiply
    104,216.50x = 219,917 × 219,917
  4. Step 4: Simplify right side
    104,216.50x = 48,363,486,889
  5. Step 5: Solve for x
    x = 48,363,486,889/104,216.50
  6. Step 6: Final answer
    x = 464,067.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.