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Finding the Third Proportional to 99,110 and 211,027

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Solution

The third proportional to 99,110 and 211,027 is: 449,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,110 : 211,027 = 211,027 : x
  2. Step 2: Convert to fraction form
    99,110/211,027 = 211,027/x
  3. Step 3: Cross multiply
    99,110x = 211,027 × 211,027
  4. Step 4: Simplify right side
    99,110x = 44,532,394,729
  5. Step 5: Solve for x
    x = 44,532,394,729/99,110
  6. Step 6: Final answer
    x = 449,322.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.