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Finding the Third Proportional to 104,691 and 214,926

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Solution

The third proportional to 104,691 and 214,926 is: 441,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,691 : 214,926 = 214,926 : x
  2. Step 2: Convert to fraction form
    104,691/214,926 = 214,926/x
  3. Step 3: Cross multiply
    104,691x = 214,926 × 214,926
  4. Step 4: Simplify right side
    104,691x = 46,193,185,476
  5. Step 5: Solve for x
    x = 46,193,185,476/104,691
  6. Step 6: Final answer
    x = 441,233.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.