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Finding the Third Proportional to 71,646,082 and 155,456,257

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Solution

The third proportional to 71,646,082 and 155,456,257 is: 337,305,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646,082 : 155,456,257 = 155,456,257 : x
  2. Step 2: Convert to fraction form
    71,646,082/155,456,257 = 155,456,257/x
  3. Step 3: Cross multiply
    71,646,082x = 155,456,257 × 155,456,257
  4. Step 4: Simplify right side
    71,646,082x = 24,166,647,840,450,048
  5. Step 5: Solve for x
    x = 24,166,647,840,450,048/71,646,082
  6. Step 6: Final answer
    x = 337,305,923.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.