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Finding the Third Proportional to 44,975 and 98,698

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Solution

The third proportional to 44,975 and 98,698 is: 216,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,975 : 98,698 = 98,698 : x
  2. Step 2: Convert to fraction form
    44,975/98,698 = 98,698/x
  3. Step 3: Cross multiply
    44,975x = 98,698 × 98,698
  4. Step 4: Simplify right side
    44,975x = 9,741,295,204
  5. Step 5: Solve for x
    x = 9,741,295,204/44,975
  6. Step 6: Final answer
    x = 216,593.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.