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Finding the Third Proportional to 95,376 and 209,418

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Solution

The third proportional to 95,376 and 209,418 is: 459,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,376 : 209,418 = 209,418 : x
  2. Step 2: Convert to fraction form
    95,376/209,418 = 209,418/x
  3. Step 3: Cross multiply
    95,376x = 209,418 × 209,418
  4. Step 4: Simplify right side
    95,376x = 43,855,898,724
  5. Step 5: Solve for x
    x = 43,855,898,724/95,376
  6. Step 6: Final answer
    x = 459,821.12

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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.