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Finding the Third Proportional to 96,806.25 and 208,443.38

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Solution

The third proportional to 96,806.25 and 208,443.38 is: 448,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,806.25 : 208,443.38 = 208,443.38 : x
  2. Step 2: Convert to fraction form
    96,806.25/208,443.38 = 208,443.38/x
  3. Step 3: Cross multiply
    96,806.25x = 208,443.38 × 208,443.38
  4. Step 4: Simplify right side
    96,806.25x = 43,448,640,581.39
  5. Step 5: Solve for x
    x = 43,448,640,581.39/96,806.25
  6. Step 6: Final answer
    x = 448,820.61

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