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Finding the Third Proportional to 100,850 and 214,950

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Solution

The third proportional to 100,850 and 214,950 is: 458,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,850 : 214,950 = 214,950 : x
  2. Step 2: Convert to fraction form
    100,850/214,950 = 214,950/x
  3. Step 3: Cross multiply
    100,850x = 214,950 × 214,950
  4. Step 4: Simplify right side
    100,850x = 46,203,502,500
  5. Step 5: Solve for x
    x = 46,203,502,500/100,850
  6. Step 6: Final answer
    x = 458,140.83

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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.