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Finding the Third Proportional to 95,424 and 203,970

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Solution

The third proportional to 95,424 and 203,970 is: 435,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,424 : 203,970 = 203,970 : x
  2. Step 2: Convert to fraction form
    95,424/203,970 = 203,970/x
  3. Step 3: Cross multiply
    95,424x = 203,970 × 203,970
  4. Step 4: Simplify right side
    95,424x = 41,603,760,900
  5. Step 5: Solve for x
    x = 41,603,760,900/95,424
  6. Step 6: Final answer
    x = 435,988.44

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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.