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Finding the Third Proportional to 148,766,560 and 347,394,294

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Solution

The third proportional to 148,766,560 and 347,394,294 is: 811,222,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,766,560 : 347,394,294 = 347,394,294 : x
  2. Step 2: Convert to fraction form
    148,766,560/347,394,294 = 347,394,294/x
  3. Step 3: Cross multiply
    148,766,560x = 347,394,294 × 347,394,294
  4. Step 4: Simplify right side
    148,766,560x = 120,682,795,503,758,432
  5. Step 5: Solve for x
    x = 120,682,795,503,758,432/148,766,560
  6. Step 6: Final answer
    x = 811,222,599.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.