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Finding the Third Proportional to 47,682,544.50 and 102,987,876

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Solution

The third proportional to 47,682,544.50 and 102,987,876 is: 222,439,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682,544.50 : 102,987,876 = 102,987,876 : x
  2. Step 2: Convert to fraction form
    47,682,544.50/102,987,876 = 102,987,876/x
  3. Step 3: Cross multiply
    47,682,544.50x = 102,987,876 × 102,987,876
  4. Step 4: Simplify right side
    47,682,544.50x = 10,606,502,602,991,376
  5. Step 5: Solve for x
    x = 10,606,502,602,991,376/47,682,544.50
  6. Step 6: Final answer
    x = 222,439,945.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.