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Finding the Third Proportional to 96,850.69 and 208,539.56

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Solution

The third proportional to 96,850.69 and 208,539.56 is: 449,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,850.69 : 208,539.56 = 208,539.56 : x
  2. Step 2: Convert to fraction form
    96,850.69/208,539.56 = 208,539.56/x
  3. Step 3: Cross multiply
    96,850.69x = 208,539.56 × 208,539.56
  4. Step 4: Simplify right side
    96,850.69x = 43,488,749,127.69
  5. Step 5: Solve for x
    x = 43,488,749,127.69/96,850.69
  6. Step 6: Final answer
    x = 449,028.81

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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.