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Finding the Third Proportional to 69,310.69 and 154,408.78

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Solution

The third proportional to 69,310.69 and 154,408.78 is: 343,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,310.69 : 154,408.78 = 154,408.78 : x
  2. Step 2: Convert to fraction form
    69,310.69/154,408.78 = 154,408.78/x
  3. Step 3: Cross multiply
    69,310.69x = 154,408.78 × 154,408.78
  4. Step 4: Simplify right side
    69,310.69x = 23,842,071,727.11
  5. Step 5: Solve for x
    x = 23,842,071,727.11/69,310.69
  6. Step 6: Final answer
    x = 343,988.39

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.