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Finding the Third Proportional to 106,586 and 216,832

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Solution

The third proportional to 106,586 and 216,832 is: 441,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,586 : 216,832 = 216,832 : x
  2. Step 2: Convert to fraction form
    106,586/216,832 = 216,832/x
  3. Step 3: Cross multiply
    106,586x = 216,832 × 216,832
  4. Step 4: Simplify right side
    106,586x = 47,016,116,224
  5. Step 5: Solve for x
    x = 47,016,116,224/106,586
  6. Step 6: Final answer
    x = 441,109.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.