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Finding the Third Proportional to 96,782 and 208,396

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Solution

The third proportional to 96,782 and 208,396 is: 448,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,782 : 208,396 = 208,396 : x
  2. Step 2: Convert to fraction form
    96,782/208,396 = 208,396/x
  3. Step 3: Cross multiply
    96,782x = 208,396 × 208,396
  4. Step 4: Simplify right side
    96,782x = 43,428,892,816
  5. Step 5: Solve for x
    x = 43,428,892,816/96,782
  6. Step 6: Final answer
    x = 448,729.03

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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.