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Finding the Third Proportional to 96,781.50 and 208,394.25

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Solution

The third proportional to 96,781.50 and 208,394.25 is: 448,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,781.50 : 208,394.25 = 208,394.25 : x
  2. Step 2: Convert to fraction form
    96,781.50/208,394.25 = 208,394.25/x
  3. Step 3: Cross multiply
    96,781.50x = 208,394.25 × 208,394.25
  4. Step 4: Simplify right side
    96,781.50x = 43,428,163,433.06
  5. Step 5: Solve for x
    x = 43,428,163,433.06/96,781.50
  6. Step 6: Final answer
    x = 448,723.81

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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.