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Finding the Third Proportional to 68,440,527 and 142,542,468

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Solution

The third proportional to 68,440,527 and 142,542,468 is: 296,876,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,440,527 : 142,542,468 = 142,542,468 : x
  2. Step 2: Convert to fraction form
    68,440,527/142,542,468 = 142,542,468/x
  3. Step 3: Cross multiply
    68,440,527x = 142,542,468 × 142,542,468
  4. Step 4: Simplify right side
    68,440,527x = 20,318,355,183,531,024
  5. Step 5: Solve for x
    x = 20,318,355,183,531,024/68,440,527
  6. Step 6: Final answer
    x = 296,876,077.29

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