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Finding the Third Proportional to 103,640 and 221,981

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Solution

The third proportional to 103,640 and 221,981 is: 475,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 221,981 = 221,981 : x
  2. Step 2: Convert to fraction form
    103,640/221,981 = 221,981/x
  3. Step 3: Cross multiply
    103,640x = 221,981 × 221,981
  4. Step 4: Simplify right side
    103,640x = 49,275,564,361
  5. Step 5: Solve for x
    x = 49,275,564,361/103,640
  6. Step 6: Final answer
    x = 475,449.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.