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Finding the Third Proportional to 148,372,831.50 and 226,965,204

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Solution

The third proportional to 148,372,831.50 and 226,965,204 is: 347,187,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,372,831.50 : 226,965,204 = 226,965,204 : x
  2. Step 2: Convert to fraction form
    148,372,831.50/226,965,204 = 226,965,204/x
  3. Step 3: Cross multiply
    148,372,831.50x = 226,965,204 × 226,965,204
  4. Step 4: Simplify right side
    148,372,831.50x = 51,513,203,826,761,616
  5. Step 5: Solve for x
    x = 51,513,203,826,761,616/148,372,831.50
  6. Step 6: Final answer
    x = 347,187,576.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.