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Finding the Third Proportional to 96,782 and 208,395

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Solution

The third proportional to 96,782 and 208,395 is: 448,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,782 : 208,395 = 208,395 : x
  2. Step 2: Convert to fraction form
    96,782/208,395 = 208,395/x
  3. Step 3: Cross multiply
    96,782x = 208,395 × 208,395
  4. Step 4: Simplify right side
    96,782x = 43,428,476,025
  5. Step 5: Solve for x
    x = 43,428,476,025/96,782
  6. Step 6: Final answer
    x = 448,724.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.