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Finding the Third Proportional to 99,927 and 214,677

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Solution

The third proportional to 99,927 and 214,677 is: 461,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,927 : 214,677 = 214,677 : x
  2. Step 2: Convert to fraction form
    99,927/214,677 = 214,677/x
  3. Step 3: Cross multiply
    99,927x = 214,677 × 214,677
  4. Step 4: Simplify right side
    99,927x = 46,086,214,329
  5. Step 5: Solve for x
    x = 46,086,214,329/99,927
  6. Step 6: Final answer
    x = 461,198.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.