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Finding the Third Proportional to 140,104.69 and 303,955.03

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Solution

The third proportional to 140,104.69 and 303,955.03 is: 659,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,104.69 : 303,955.03 = 303,955.03 : x
  2. Step 2: Convert to fraction form
    140,104.69/303,955.03 = 303,955.03/x
  3. Step 3: Cross multiply
    140,104.69x = 303,955.03 × 303,955.03
  4. Step 4: Simplify right side
    140,104.69x = 92,388,661,022.19
  5. Step 5: Solve for x
    x = 92,388,661,022.19/140,104.69
  6. Step 6: Final answer
    x = 659,425.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.