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Finding the Third Proportional to 43,825.43 and 96,588.94

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Solution

The third proportional to 43,825.43 and 96,588.94 is: 212,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,825.43 : 96,588.94 = 96,588.94 : x
  2. Step 2: Convert to fraction form
    43,825.43/96,588.94 = 96,588.94/x
  3. Step 3: Cross multiply
    43,825.43x = 96,588.94 × 96,588.94
  4. Step 4: Simplify right side
    43,825.43x = 9,329,423,413.33
  5. Step 5: Solve for x
    x = 9,329,423,413.33/43,825.43
  6. Step 6: Final answer
    x = 212,876.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.