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Finding the Third Proportional to 103,667 and 221,548

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Solution

The third proportional to 103,667 and 221,548 is: 473,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,667 : 221,548 = 221,548 : x
  2. Step 2: Convert to fraction form
    103,667/221,548 = 221,548/x
  3. Step 3: Cross multiply
    103,667x = 221,548 × 221,548
  4. Step 4: Simplify right side
    103,667x = 49,083,516,304
  5. Step 5: Solve for x
    x = 49,083,516,304/103,667
  6. Step 6: Final answer
    x = 473,472.91

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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.