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Finding the Third Proportional to 148,394,314 and 197,836,626

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Solution

The third proportional to 148,394,314 and 197,836,626 is: 263,752,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,394,314 : 197,836,626 = 197,836,626 : x
  2. Step 2: Convert to fraction form
    148,394,314/197,836,626 = 197,836,626/x
  3. Step 3: Cross multiply
    148,394,314x = 197,836,626 × 197,836,626
  4. Step 4: Simplify right side
    148,394,314x = 39,139,330,587,063,872
  5. Step 5: Solve for x
    x = 39,139,330,587,063,872/148,394,314
  6. Step 6: Final answer
    x = 263,752,225.62

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Why These Related Problems?

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