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Finding the Third Proportional to 90,630 and 195,846

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Solution

The third proportional to 90,630 and 195,846 is: 423,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,630 : 195,846 = 195,846 : x
  2. Step 2: Convert to fraction form
    90,630/195,846 = 195,846/x
  3. Step 3: Cross multiply
    90,630x = 195,846 × 195,846
  4. Step 4: Simplify right side
    90,630x = 38,355,655,716
  5. Step 5: Solve for x
    x = 38,355,655,716/90,630
  6. Step 6: Final answer
    x = 423,211.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.