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Finding the Third Proportional to 168,147,072 and 362,224,512

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Solution

The third proportional to 168,147,072 and 362,224,512 is: 780,308,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,147,072 : 362,224,512 = 362,224,512 : x
  2. Step 2: Convert to fraction form
    168,147,072/362,224,512 = 362,224,512/x
  3. Step 3: Cross multiply
    168,147,072x = 362,224,512 × 362,224,512
  4. Step 4: Simplify right side
    168,147,072x = 131,206,597,093,638,144
  5. Step 5: Solve for x
    x = 131,206,597,093,638,144/168,147,072
  6. Step 6: Final answer
    x = 780,308,544.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.