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Finding the Third Proportional to 107,156,198 and 227,188,389

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Solution

The third proportional to 107,156,198 and 227,188,389 is: 481,675,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,156,198 : 227,188,389 = 227,188,389 : x
  2. Step 2: Convert to fraction form
    107,156,198/227,188,389 = 227,188,389/x
  3. Step 3: Cross multiply
    107,156,198x = 227,188,389 × 227,188,389
  4. Step 4: Simplify right side
    107,156,198x = 51,614,564,096,415,320
  5. Step 5: Solve for x
    x = 51,614,564,096,415,320/107,156,198
  6. Step 6: Final answer
    x = 481,675,955.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.