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Finding the Third Proportional to 114,024,006 and 248,956,218

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Solution

The third proportional to 114,024,006 and 248,956,218 is: 543,562,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,024,006 : 248,956,218 = 248,956,218 : x
  2. Step 2: Convert to fraction form
    114,024,006/248,956,218 = 248,956,218/x
  3. Step 3: Cross multiply
    114,024,006x = 248,956,218 × 248,956,218
  4. Step 4: Simplify right side
    114,024,006x = 61,979,198,480,863,520
  5. Step 5: Solve for x
    x = 61,979,198,480,863,520/114,024,006
  6. Step 6: Final answer
    x = 543,562,716.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.