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Finding the Third Proportional to 89,866 and 195,590

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Solution

The third proportional to 89,866 and 195,590 is: 425,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,866 : 195,590 = 195,590 : x
  2. Step 2: Convert to fraction form
    89,866/195,590 = 195,590/x
  3. Step 3: Cross multiply
    89,866x = 195,590 × 195,590
  4. Step 4: Simplify right side
    89,866x = 38,255,448,100
  5. Step 5: Solve for x
    x = 38,255,448,100/89,866
  6. Step 6: Final answer
    x = 425,694.35

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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.