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Finding the Third Proportional to 96,149 and 208,883

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Solution

The third proportional to 96,149 and 208,883 is: 453,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,149 : 208,883 = 208,883 : x
  2. Step 2: Convert to fraction form
    96,149/208,883 = 208,883/x
  3. Step 3: Cross multiply
    96,149x = 208,883 × 208,883
  4. Step 4: Simplify right side
    96,149x = 43,632,107,689
  5. Step 5: Solve for x
    x = 43,632,107,689/96,149
  6. Step 6: Final answer
    x = 453,796.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.