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Finding the Third Proportional to 89,319 and 191,589

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Solution

The third proportional to 89,319 and 191,589 is: 410,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,319 : 191,589 = 191,589 : x
  2. Step 2: Convert to fraction form
    89,319/191,589 = 191,589/x
  3. Step 3: Cross multiply
    89,319x = 191,589 × 191,589
  4. Step 4: Simplify right side
    89,319x = 36,706,344,921
  5. Step 5: Solve for x
    x = 36,706,344,921/89,319
  6. Step 6: Final answer
    x = 410,957.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.