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Finding the Third Proportional to 89,571 and 195,515

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Solution

The third proportional to 89,571 and 195,515 is: 426,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,571 : 195,515 = 195,515 : x
  2. Step 2: Convert to fraction form
    89,571/195,515 = 195,515/x
  3. Step 3: Cross multiply
    89,571x = 195,515 × 195,515
  4. Step 4: Simplify right side
    89,571x = 38,226,115,225
  5. Step 5: Solve for x
    x = 38,226,115,225/89,571
  6. Step 6: Final answer
    x = 426,768.88

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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.