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Finding the Third Proportional to 88,891 and 193,760

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Solution

The third proportional to 88,891 and 193,760 is: 422,348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,891 : 193,760 = 193,760 : x
  2. Step 2: Convert to fraction form
    88,891/193,760 = 193,760/x
  3. Step 3: Cross multiply
    88,891x = 193,760 × 193,760
  4. Step 4: Simplify right side
    88,891x = 37,542,937,600
  5. Step 5: Solve for x
    x = 37,542,937,600/88,891
  6. Step 6: Final answer
    x = 422,348.02

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Why These Related Problems?

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