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Finding the Third Proportional to 89,702 and 188,698

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Solution

The third proportional to 89,702 and 188,698 is: 396,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,702 : 188,698 = 188,698 : x
  2. Step 2: Convert to fraction form
    89,702/188,698 = 188,698/x
  3. Step 3: Cross multiply
    89,702x = 188,698 × 188,698
  4. Step 4: Simplify right side
    89,702x = 35,606,935,204
  5. Step 5: Solve for x
    x = 35,606,935,204/89,702
  6. Step 6: Final answer
    x = 396,946.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.