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Finding the Third Proportional to 71,204,600 and 146,183,936

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Solution

The third proportional to 71,204,600 and 146,183,936 is: 300,117,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204,600 : 146,183,936 = 146,183,936 : x
  2. Step 2: Convert to fraction form
    71,204,600/146,183,936 = 146,183,936/x
  3. Step 3: Cross multiply
    71,204,600x = 146,183,936 × 146,183,936
  4. Step 4: Simplify right side
    71,204,600x = 21,369,743,144,452,096
  5. Step 5: Solve for x
    x = 21,369,743,144,452,096/71,204,600
  6. Step 6: Final answer
    x = 300,117,452.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.