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Finding the Third Proportional to 96,241 and 203,014

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Solution

The third proportional to 96,241 and 203,014 is: 428,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,241 : 203,014 = 203,014 : x
  2. Step 2: Convert to fraction form
    96,241/203,014 = 203,014/x
  3. Step 3: Cross multiply
    96,241x = 203,014 × 203,014
  4. Step 4: Simplify right side
    96,241x = 41,214,684,196
  5. Step 5: Solve for x
    x = 41,214,684,196/96,241
  6. Step 6: Final answer
    x = 428,244.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.