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Finding the Third Proportional to 67,105,362 and 146,770,836

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Solution

The third proportional to 67,105,362 and 146,770,836 is: 321,012,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,105,362 : 146,770,836 = 146,770,836 : x
  2. Step 2: Convert to fraction form
    67,105,362/146,770,836 = 146,770,836/x
  3. Step 3: Cross multiply
    67,105,362x = 146,770,836 × 146,770,836
  4. Step 4: Simplify right side
    67,105,362x = 21,541,678,300,138,896
  5. Step 5: Solve for x
    x = 21,541,678,300,138,896/67,105,362
  6. Step 6: Final answer
    x = 321,012,772.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.