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Finding the Third Proportional to 106,711 and 228,636

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Solution

The third proportional to 106,711 and 228,636 is: 489,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,711 : 228,636 = 228,636 : x
  2. Step 2: Convert to fraction form
    106,711/228,636 = 228,636/x
  3. Step 3: Cross multiply
    106,711x = 228,636 × 228,636
  4. Step 4: Simplify right side
    106,711x = 52,274,420,496
  5. Step 5: Solve for x
    x = 52,274,420,496/106,711
  6. Step 6: Final answer
    x = 489,869.09

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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.