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Finding the Third Proportional to 51,330,350.75 and 106,906,762

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Solution

The third proportional to 51,330,350.75 and 106,906,762 is: 222,656,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,330,350.75 : 106,906,762 = 106,906,762 : x
  2. Step 2: Convert to fraction form
    51,330,350.75/106,906,762 = 106,906,762/x
  3. Step 3: Cross multiply
    51,330,350.75x = 106,906,762 × 106,906,762
  4. Step 4: Simplify right side
    51,330,350.75x = 11,429,055,761,324,644
  5. Step 5: Solve for x
    x = 11,429,055,761,324,644/51,330,350.75
  6. Step 6: Final answer
    x = 222,656,880.27

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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.