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Finding the Third Proportional to 54,467,816 and 117,543,204

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Solution

The third proportional to 54,467,816 and 117,543,204 is: 253,661,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,467,816 : 117,543,204 = 117,543,204 : x
  2. Step 2: Convert to fraction form
    54,467,816/117,543,204 = 117,543,204/x
  3. Step 3: Cross multiply
    54,467,816x = 117,543,204 × 117,543,204
  4. Step 4: Simplify right side
    54,467,816x = 13,816,404,806,585,616
  5. Step 5: Solve for x
    x = 13,816,404,806,585,616/54,467,816
  6. Step 6: Final answer
    x = 253,661,810.24

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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.