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Finding the Third Proportional to 50,231 and 108,232

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Solution

The third proportional to 50,231 and 108,232 is: 233,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,231 : 108,232 = 108,232 : x
  2. Step 2: Convert to fraction form
    50,231/108,232 = 108,232/x
  3. Step 3: Cross multiply
    50,231x = 108,232 × 108,232
  4. Step 4: Simplify right side
    50,231x = 11,714,165,824
  5. Step 5: Solve for x
    x = 11,714,165,824/50,231
  6. Step 6: Final answer
    x = 233,205.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.