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Finding the Third Proportional to 148,188,261,021 and 199,940,755,252

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Solution

The third proportional to 148,188,261,021 and 199,940,755,252 is: 269,767,020,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,188,261,021 : 199,940,755,252 = 199,940,755,252 : x
  2. Step 2: Convert to fraction form
    148,188,261,021/199,940,755,252 = 199,940,755,252/x
  3. Step 3: Cross multiply
    148,188,261,021x = 199,940,755,252 × 199,940,755,252
  4. Step 4: Simplify right side
    148,188,261,021x = 39,976,305,610,740,161,576,960
  5. Step 5: Solve for x
    x = 39,976,305,610,740,161,576,960/148,188,261,021
  6. Step 6: Final answer
    x = 269,767,020,243.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.