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Finding the Third Proportional to 227,433,009 and 332,620,191

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Solution

The third proportional to 227,433,009 and 332,620,191 is: 486,456,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,433,009 : 332,620,191 = 332,620,191 : x
  2. Step 2: Convert to fraction form
    227,433,009/332,620,191 = 332,620,191/x
  3. Step 3: Cross multiply
    227,433,009x = 332,620,191 × 332,620,191
  4. Step 4: Simplify right side
    227,433,009x = 110,636,191,460,876,480
  5. Step 5: Solve for x
    x = 110,636,191,460,876,480/227,433,009
  6. Step 6: Final answer
    x = 486,456,174.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.