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Finding the Third Proportional to 47,049 and 100,919

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Solution

The third proportional to 47,049 and 100,919 is: 216,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,049 : 100,919 = 100,919 : x
  2. Step 2: Convert to fraction form
    47,049/100,919 = 100,919/x
  3. Step 3: Cross multiply
    47,049x = 100,919 × 100,919
  4. Step 4: Simplify right side
    47,049x = 10,184,644,561
  5. Step 5: Solve for x
    x = 10,184,644,561/47,049
  6. Step 6: Final answer
    x = 216,468.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.