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Finding the Third Proportional to 89,868 and 195,591

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Solution

The third proportional to 89,868 and 195,591 is: 425,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,868 : 195,591 = 195,591 : x
  2. Step 2: Convert to fraction form
    89,868/195,591 = 195,591/x
  3. Step 3: Cross multiply
    89,868x = 195,591 × 195,591
  4. Step 4: Simplify right side
    89,868x = 38,255,839,281
  5. Step 5: Solve for x
    x = 38,255,839,281/89,868
  6. Step 6: Final answer
    x = 425,689.23

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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.