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Finding the Third Proportional to 90,855 and 195,522

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Solution

The third proportional to 90,855 and 195,522 is: 420,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,855 : 195,522 = 195,522 : x
  2. Step 2: Convert to fraction form
    90,855/195,522 = 195,522/x
  3. Step 3: Cross multiply
    90,855x = 195,522 × 195,522
  4. Step 4: Simplify right side
    90,855x = 38,228,852,484
  5. Step 5: Solve for x
    x = 38,228,852,484/90,855
  6. Step 6: Final answer
    x = 420,767.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.