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Finding the Third Proportional to 95,196 and 207,336

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Solution

The third proportional to 95,196 and 207,336 is: 451,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,196 : 207,336 = 207,336 : x
  2. Step 2: Convert to fraction form
    95,196/207,336 = 207,336/x
  3. Step 3: Cross multiply
    95,196x = 207,336 × 207,336
  4. Step 4: Simplify right side
    95,196x = 42,988,216,896
  5. Step 5: Solve for x
    x = 42,988,216,896/95,196
  6. Step 6: Final answer
    x = 451,575.87

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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.