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Finding the Third Proportional to 98,297,584 and 218,412,512

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Solution

The third proportional to 98,297,584 and 218,412,512 is: 485,302,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,297,584 : 218,412,512 = 218,412,512 : x
  2. Step 2: Convert to fraction form
    98,297,584/218,412,512 = 218,412,512/x
  3. Step 3: Cross multiply
    98,297,584x = 218,412,512 × 218,412,512
  4. Step 4: Simplify right side
    98,297,584x = 47,704,025,398,150,144
  5. Step 5: Solve for x
    x = 47,704,025,398,150,144/98,297,584
  6. Step 6: Final answer
    x = 485,302,114.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.