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Finding the Third Proportional to 89,891 and 195,631

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Solution

The third proportional to 89,891 and 195,631 is: 425,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,891 : 195,631 = 195,631 : x
  2. Step 2: Convert to fraction form
    89,891/195,631 = 195,631/x
  3. Step 3: Cross multiply
    89,891x = 195,631 × 195,631
  4. Step 4: Simplify right side
    89,891x = 38,271,488,161
  5. Step 5: Solve for x
    x = 38,271,488,161/89,891
  6. Step 6: Final answer
    x = 425,754.39

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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.