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Finding the Third Proportional to 95,491 and 208,100

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Solution

The third proportional to 95,491 and 208,100 is: 453,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,491 : 208,100 = 208,100 : x
  2. Step 2: Convert to fraction form
    95,491/208,100 = 208,100/x
  3. Step 3: Cross multiply
    95,491x = 208,100 × 208,100
  4. Step 4: Simplify right side
    95,491x = 43,305,610,000
  5. Step 5: Solve for x
    x = 43,305,610,000/95,491
  6. Step 6: Final answer
    x = 453,504.62

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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.