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Finding the Third Proportional to 100,424 and 214,192

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Solution

The third proportional to 100,424 and 214,192 is: 456,845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424 : 214,192 = 214,192 : x
  2. Step 2: Convert to fraction form
    100,424/214,192 = 214,192/x
  3. Step 3: Cross multiply
    100,424x = 214,192 × 214,192
  4. Step 4: Simplify right side
    100,424x = 45,878,212,864
  5. Step 5: Solve for x
    x = 45,878,212,864/100,424
  6. Step 6: Final answer
    x = 456,845.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.