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Finding the Third Proportional to 96,831 and 212,832

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Solution

The third proportional to 96,831 and 212,832 is: 467,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,831 : 212,832 = 212,832 : x
  2. Step 2: Convert to fraction form
    96,831/212,832 = 212,832/x
  3. Step 3: Cross multiply
    96,831x = 212,832 × 212,832
  4. Step 4: Simplify right side
    96,831x = 45,297,460,224
  5. Step 5: Solve for x
    x = 45,297,460,224/96,831
  6. Step 6: Final answer
    x = 467,799.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.