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Finding the Third Proportional to 90,216 and 195,802

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Solution

The third proportional to 90,216 and 195,802 is: 424,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,216 : 195,802 = 195,802 : x
  2. Step 2: Convert to fraction form
    90,216/195,802 = 195,802/x
  3. Step 3: Cross multiply
    90,216x = 195,802 × 195,802
  4. Step 4: Simplify right side
    90,216x = 38,338,423,204
  5. Step 5: Solve for x
    x = 38,338,423,204/90,216
  6. Step 6: Final answer
    x = 424,962.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.