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Finding the Third Proportional to 47,796 and 103,884

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Solution

The third proportional to 47,796 and 103,884 is: 225,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796 : 103,884 = 103,884 : x
  2. Step 2: Convert to fraction form
    47,796/103,884 = 103,884/x
  3. Step 3: Cross multiply
    47,796x = 103,884 × 103,884
  4. Step 4: Simplify right side
    47,796x = 10,791,885,456
  5. Step 5: Solve for x
    x = 10,791,885,456/47,796
  6. Step 6: Final answer
    x = 225,790.56

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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.