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Finding the Third Proportional to 40,960.69 and 99,633.80

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Solution

The third proportional to 40,960.69 and 99,633.80 is: 242,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,960.69 : 99,633.80 = 99,633.80 : x
  2. Step 2: Convert to fraction form
    40,960.69/99,633.80 = 99,633.80/x
  3. Step 3: Cross multiply
    40,960.69x = 99,633.80 × 99,633.80
  4. Step 4: Simplify right side
    40,960.69x = 9,926,893,479.73
  5. Step 5: Solve for x
    x = 9,926,893,479.73/40,960.69
  6. Step 6: Final answer
    x = 242,351.73

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.