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Finding the Third Proportional to 76,997,339,399.54 and 113,189,504,613.19

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Solution

The third proportional to 76,997,339,399.54 and 113,189,504,613.19 is: 166,393,593,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997,339,399.54 : 113,189,504,613.19 = 113,189,504,613.19 : x
  2. Step 2: Convert to fraction form
    76,997,339,399.54/113,189,504,613.19 = 113,189,504,613.19/x
  3. Step 3: Cross multiply
    76,997,339,399.54x = 113,189,504,613.19 × 113,189,504,613.19
  4. Step 4: Simplify right side
    76,997,339,399.54x = 12,811,863,954,579,360,055,296
  5. Step 5: Solve for x
    x = 12,811,863,954,579,360,055,296/76,997,339,399.54
  6. Step 6: Final answer
    x = 166,393,593,005.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.