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Finding the Third Proportional to 103,524 and 221,811

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Solution

The third proportional to 103,524 and 221,811 is: 475,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,524 : 221,811 = 221,811 : x
  2. Step 2: Convert to fraction form
    103,524/221,811 = 221,811/x
  3. Step 3: Cross multiply
    103,524x = 221,811 × 221,811
  4. Step 4: Simplify right side
    103,524x = 49,200,119,721
  5. Step 5: Solve for x
    x = 49,200,119,721/103,524
  6. Step 6: Final answer
    x = 475,253.27

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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.