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Finding the Third Proportional to 39,699,344.41 and 85,993,930.44

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Solution

The third proportional to 39,699,344.41 and 85,993,930.44 is: 186,274,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,699,344.41 : 85,993,930.44 = 85,993,930.44 : x
  2. Step 2: Convert to fraction form
    39,699,344.41/85,993,930.44 = 85,993,930.44/x
  3. Step 3: Cross multiply
    39,699,344.41x = 85,993,930.44 × 85,993,930.44
  4. Step 4: Simplify right side
    39,699,344.41x = 7,394,956,072,089,589
  5. Step 5: Solve for x
    x = 7,394,956,072,089,589/39,699,344.41
  6. Step 6: Final answer
    x = 186,274,009.88

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Why These Related Problems?

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