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Finding the Third Proportional to 44,613 and 99,067

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Solution

The third proportional to 44,613 and 99,067 is: 219,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,613 : 99,067 = 99,067 : x
  2. Step 2: Convert to fraction form
    44,613/99,067 = 99,067/x
  3. Step 3: Cross multiply
    44,613x = 99,067 × 99,067
  4. Step 4: Simplify right side
    44,613x = 9,814,270,489
  5. Step 5: Solve for x
    x = 9,814,270,489/44,613
  6. Step 6: Final answer
    x = 219,986.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.