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Finding the Third Proportional to 103,896 and 221,976

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Solution

The third proportional to 103,896 and 221,976 is: 474,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896 : 221,976 = 221,976 : x
  2. Step 2: Convert to fraction form
    103,896/221,976 = 221,976/x
  3. Step 3: Cross multiply
    103,896x = 221,976 × 221,976
  4. Step 4: Simplify right side
    103,896x = 49,273,344,576
  5. Step 5: Solve for x
    x = 49,273,344,576/103,896
  6. Step 6: Final answer
    x = 474,256.42

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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.