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Finding the Third Proportional to 231,237,066 and 332,368,830

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Solution

The third proportional to 231,237,066 and 332,368,830 is: 477,730,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,237,066 : 332,368,830 = 332,368,830 : x
  2. Step 2: Convert to fraction form
    231,237,066/332,368,830 = 332,368,830/x
  3. Step 3: Cross multiply
    231,237,066x = 332,368,830 × 332,368,830
  4. Step 4: Simplify right side
    231,237,066x = 110,469,039,155,568,896
  5. Step 5: Solve for x
    x = 110,469,039,155,568,896/231,237,066
  6. Step 6: Final answer
    x = 477,730,672.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.