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Finding the Third Proportional to 88,690 and 194,626

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Solution

The third proportional to 88,690 and 194,626 is: 427,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,690 : 194,626 = 194,626 : x
  2. Step 2: Convert to fraction form
    88,690/194,626 = 194,626/x
  3. Step 3: Cross multiply
    88,690x = 194,626 × 194,626
  4. Step 4: Simplify right side
    88,690x = 37,879,279,876
  5. Step 5: Solve for x
    x = 37,879,279,876/88,690
  6. Step 6: Final answer
    x = 427,097.53

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Why These Related Problems?

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