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Finding the Third Proportional to 106,186 and 222,596

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Solution

The third proportional to 106,186 and 222,596 is: 466,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,186 : 222,596 = 222,596 : x
  2. Step 2: Convert to fraction form
    106,186/222,596 = 222,596/x
  3. Step 3: Cross multiply
    106,186x = 222,596 × 222,596
  4. Step 4: Simplify right side
    106,186x = 49,548,979,216
  5. Step 5: Solve for x
    x = 49,548,979,216/106,186
  6. Step 6: Final answer
    x = 466,624.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.