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Finding the Third Proportional to 47,919 and 103,983

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Solution

The third proportional to 47,919 and 103,983 is: 225,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,919 : 103,983 = 103,983 : x
  2. Step 2: Convert to fraction form
    47,919/103,983 = 103,983/x
  3. Step 3: Cross multiply
    47,919x = 103,983 × 103,983
  4. Step 4: Simplify right side
    47,919x = 10,812,464,289
  5. Step 5: Solve for x
    x = 10,812,464,289/47,919
  6. Step 6: Final answer
    x = 225,640.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.