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Finding the Third Proportional to 68,155,620.75 and 148,647,376.13

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Solution

The third proportional to 68,155,620.75 and 148,647,376.13 is: 324,199,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,155,620.75 : 148,647,376.13 = 148,647,376.13 : x
  2. Step 2: Convert to fraction form
    68,155,620.75/148,647,376.13 = 148,647,376.13/x
  3. Step 3: Cross multiply
    68,155,620.75x = 148,647,376.13 × 148,647,376.13
  4. Step 4: Simplify right side
    68,155,620.75x = 22,096,042,428,847,220
  5. Step 5: Solve for x
    x = 22,096,042,428,847,220/68,155,620.75
  6. Step 6: Final answer
    x = 324,199,855.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.