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Finding the Third Proportional to 99,884 and 214,591

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Solution

The third proportional to 99,884 and 214,591 is: 461,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,884 : 214,591 = 214,591 : x
  2. Step 2: Convert to fraction form
    99,884/214,591 = 214,591/x
  3. Step 3: Cross multiply
    99,884x = 214,591 × 214,591
  4. Step 4: Simplify right side
    99,884x = 46,049,297,281
  5. Step 5: Solve for x
    x = 46,049,297,281/99,884
  6. Step 6: Final answer
    x = 461,027.77

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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.