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Finding the Third Proportional to 95,493 and 208,104

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Solution

The third proportional to 95,493 and 208,104 is: 453,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,493 : 208,104 = 208,104 : x
  2. Step 2: Convert to fraction form
    95,493/208,104 = 208,104/x
  3. Step 3: Cross multiply
    95,493x = 208,104 × 208,104
  4. Step 4: Simplify right side
    95,493x = 43,307,274,816
  5. Step 5: Solve for x
    x = 43,307,274,816/95,493
  6. Step 6: Final answer
    x = 453,512.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.