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Finding the Third Proportional to 95,348 and 221,690

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Solution

The third proportional to 95,348 and 221,690 is: 515,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,348 : 221,690 = 221,690 : x
  2. Step 2: Convert to fraction form
    95,348/221,690 = 221,690/x
  3. Step 3: Cross multiply
    95,348x = 221,690 × 221,690
  4. Step 4: Simplify right side
    95,348x = 49,146,456,100
  5. Step 5: Solve for x
    x = 49,146,456,100/95,348
  6. Step 6: Final answer
    x = 515,442.97

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.