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Finding the Third Proportional to 227,433,013 and 332,620,201.50

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Solution

The third proportional to 227,433,013 and 332,620,201.50 is: 486,456,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,433,013 : 332,620,201.50 = 332,620,201.50 : x
  2. Step 2: Convert to fraction form
    227,433,013/332,620,201.50 = 332,620,201.50/x
  3. Step 3: Cross multiply
    227,433,013x = 332,620,201.50 × 332,620,201.50
  4. Step 4: Simplify right side
    227,433,013x = 110,636,198,445,900,608
  5. Step 5: Solve for x
    x = 110,636,198,445,900,608/227,433,013
  6. Step 6: Final answer
    x = 486,456,196.43

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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.