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Finding the Third Proportional to 100,139 and 214,493

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Solution

The third proportional to 100,139 and 214,493 is: 459,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,139 : 214,493 = 214,493 : x
  2. Step 2: Convert to fraction form
    100,139/214,493 = 214,493/x
  3. Step 3: Cross multiply
    100,139x = 214,493 × 214,493
  4. Step 4: Simplify right side
    100,139x = 46,007,247,049
  5. Step 5: Solve for x
    x = 46,007,247,049/100,139
  6. Step 6: Final answer
    x = 459,433.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.