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Finding the Third Proportional to 77,882,529 and 166,189,232

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Solution

The third proportional to 77,882,529 and 166,189,232 is: 354,622,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,529 : 166,189,232 = 166,189,232 : x
  2. Step 2: Convert to fraction form
    77,882,529/166,189,232 = 166,189,232/x
  3. Step 3: Cross multiply
    77,882,529x = 166,189,232 × 166,189,232
  4. Step 4: Simplify right side
    77,882,529x = 27,618,860,832,749,824
  5. Step 5: Solve for x
    x = 27,618,860,832,749,824/77,882,529
  6. Step 6: Final answer
    x = 354,622,033.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.