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Finding the Third Proportional to 237,178,419,568 and 361,324,916,198

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Solution

The third proportional to 237,178,419,568 and 361,324,916,198 is: 550,453,516,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,178,419,568 : 361,324,916,198 = 361,324,916,198 : x
  2. Step 2: Convert to fraction form
    237,178,419,568/361,324,916,198 = 361,324,916,198/x
  3. Step 3: Cross multiply
    237,178,419,568x = 361,324,916,198 × 361,324,916,198
  4. Step 4: Simplify right side
    237,178,419,568x = 130,555,695,065,491,725,877,248
  5. Step 5: Solve for x
    x = 130,555,695,065,491,725,877,248/237,178,419,568
  6. Step 6: Final answer
    x = 550,453,516,400.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.