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Finding the Third Proportional to 100,849 and 214,945

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Solution

The third proportional to 100,849 and 214,945 is: 458,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,849 : 214,945 = 214,945 : x
  2. Step 2: Convert to fraction form
    100,849/214,945 = 214,945/x
  3. Step 3: Cross multiply
    100,849x = 214,945 × 214,945
  4. Step 4: Simplify right side
    100,849x = 46,201,353,025
  5. Step 5: Solve for x
    x = 46,201,353,025/100,849
  6. Step 6: Final answer
    x = 458,124.06

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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.