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Finding the Third Proportional to 68,542,963 and 148,371,494

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Solution

The third proportional to 68,542,963 and 148,371,494 is: 321,172,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,542,963 : 148,371,494 = 148,371,494 : x
  2. Step 2: Convert to fraction form
    68,542,963/148,371,494 = 148,371,494/x
  3. Step 3: Cross multiply
    68,542,963x = 148,371,494 × 148,371,494
  4. Step 4: Simplify right side
    68,542,963x = 22,014,100,231,792,036
  5. Step 5: Solve for x
    x = 22,014,100,231,792,036/68,542,963
  6. Step 6: Final answer
    x = 321,172,287.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.