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Finding the Third Proportional to 231,331,690 and 308,407,838

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Solution

The third proportional to 231,331,690 and 308,407,838 is: 411,164,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,331,690 : 308,407,838 = 308,407,838 : x
  2. Step 2: Convert to fraction form
    231,331,690/308,407,838 = 308,407,838/x
  3. Step 3: Cross multiply
    231,331,690x = 308,407,838 × 308,407,838
  4. Step 4: Simplify right side
    231,331,690x = 95,115,394,539,834,240
  5. Step 5: Solve for x
    x = 95,115,394,539,834,240/231,331,690
  6. Step 6: Final answer
    x = 411,164,568.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.