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Finding the Third Proportional to 47,328 and 103,404

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Solution

The third proportional to 47,328 and 103,404 is: 225,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,328 : 103,404 = 103,404 : x
  2. Step 2: Convert to fraction form
    47,328/103,404 = 103,404/x
  3. Step 3: Cross multiply
    47,328x = 103,404 × 103,404
  4. Step 4: Simplify right side
    47,328x = 10,692,387,216
  5. Step 5: Solve for x
    x = 10,692,387,216/47,328
  6. Step 6: Final answer
    x = 225,920.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.