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Finding the Third Proportional to 95,789 and 208,336

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Solution

The third proportional to 95,789 and 208,336 is: 453,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,789 : 208,336 = 208,336 : x
  2. Step 2: Convert to fraction form
    95,789/208,336 = 208,336/x
  3. Step 3: Cross multiply
    95,789x = 208,336 × 208,336
  4. Step 4: Simplify right side
    95,789x = 43,403,888,896
  5. Step 5: Solve for x
    x = 43,403,888,896/95,789
  6. Step 6: Final answer
    x = 453,119.76

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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.