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Finding the Third Proportional to 95,246 and 203,614

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Solution

The third proportional to 95,246 and 203,614 is: 435,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,246 : 203,614 = 203,614 : x
  2. Step 2: Convert to fraction form
    95,246/203,614 = 203,614/x
  3. Step 3: Cross multiply
    95,246x = 203,614 × 203,614
  4. Step 4: Simplify right side
    95,246x = 41,458,660,996
  5. Step 5: Solve for x
    x = 41,458,660,996/95,246
  6. Step 6: Final answer
    x = 435,279.81

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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.