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Finding the Third Proportional to 68,440,524 and 142,542,462

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Solution

The third proportional to 68,440,524 and 142,542,462 is: 296,876,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,440,524 : 142,542,462 = 142,542,462 : x
  2. Step 2: Convert to fraction form
    68,440,524/142,542,462 = 142,542,462/x
  3. Step 3: Cross multiply
    68,440,524x = 142,542,462 × 142,542,462
  4. Step 4: Simplify right side
    68,440,524x = 20,318,353,473,021,444
  5. Step 5: Solve for x
    x = 20,318,353,473,021,444/68,440,524
  6. Step 6: Final answer
    x = 296,876,065.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.