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Finding the Third Proportional to 95,397 and 209,820

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Solution

The third proportional to 95,397 and 209,820 is: 461,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,397 : 209,820 = 209,820 : x
  2. Step 2: Convert to fraction form
    95,397/209,820 = 209,820/x
  3. Step 3: Cross multiply
    95,397x = 209,820 × 209,820
  4. Step 4: Simplify right side
    95,397x = 44,024,432,400
  5. Step 5: Solve for x
    x = 44,024,432,400/95,397
  6. Step 6: Final answer
    x = 461,486.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.