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Finding the Third Proportional to 47,799 and 98,667

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Solution

The third proportional to 47,799 and 98,667 is: 203,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,799 : 98,667 = 98,667 : x
  2. Step 2: Convert to fraction form
    47,799/98,667 = 98,667/x
  3. Step 3: Cross multiply
    47,799x = 98,667 × 98,667
  4. Step 4: Simplify right side
    47,799x = 9,735,176,889
  5. Step 5: Solve for x
    x = 9,735,176,889/47,799
  6. Step 6: Final answer
    x = 203,669.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.