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Finding the Third Proportional to 148,766,562 and 347,394,299

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Solution

The third proportional to 148,766,562 and 347,394,299 is: 811,222,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,766,562 : 347,394,299 = 347,394,299 : x
  2. Step 2: Convert to fraction form
    148,766,562/347,394,299 = 347,394,299/x
  3. Step 3: Cross multiply
    148,766,562x = 347,394,299 × 347,394,299
  4. Step 4: Simplify right side
    148,766,562x = 120,682,798,977,701,408
  5. Step 5: Solve for x
    x = 120,682,798,977,701,408/148,766,562
  6. Step 6: Final answer
    x = 811,222,611.82

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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.