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Finding the Third Proportional to 47,799 and 103,890

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Solution

The third proportional to 47,799 and 103,890 is: 225,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,799 : 103,890 = 103,890 : x
  2. Step 2: Convert to fraction form
    47,799/103,890 = 103,890/x
  3. Step 3: Cross multiply
    47,799x = 103,890 × 103,890
  4. Step 4: Simplify right side
    47,799x = 10,793,132,100
  5. Step 5: Solve for x
    x = 10,793,132,100/47,799
  6. Step 6: Final answer
    x = 225,802.47

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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.