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Finding the Third Proportional to 99,883 and 214,589

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Solution

The third proportional to 99,883 and 214,589 is: 461,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,883 : 214,589 = 214,589 : x
  2. Step 2: Convert to fraction form
    99,883/214,589 = 214,589/x
  3. Step 3: Cross multiply
    99,883x = 214,589 × 214,589
  4. Step 4: Simplify right side
    99,883x = 46,048,438,921
  5. Step 5: Solve for x
    x = 46,048,438,921/99,883
  6. Step 6: Final answer
    x = 461,023.79

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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.