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Finding the Third Proportional to 96,632,396 and 146,355,198

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Solution

The third proportional to 96,632,396 and 146,355,198 is: 221,663,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,632,396 : 146,355,198 = 146,355,198 : x
  2. Step 2: Convert to fraction form
    96,632,396/146,355,198 = 146,355,198/x
  3. Step 3: Cross multiply
    96,632,396x = 146,355,198 × 146,355,198
  4. Step 4: Simplify right side
    96,632,396x = 21,419,843,981,619,204
  5. Step 5: Solve for x
    x = 21,419,843,981,619,204/96,632,396
  6. Step 6: Final answer
    x = 221,663,177.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.