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Finding the Third Proportional to 148,188,261,020 and 199,940,755,251

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Solution

The third proportional to 148,188,261,020 and 199,940,755,251 is: 269,767,020,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,188,261,020 : 199,940,755,251 = 199,940,755,251 : x
  2. Step 2: Convert to fraction form
    148,188,261,020/199,940,755,251 = 199,940,755,251/x
  3. Step 3: Cross multiply
    148,188,261,020x = 199,940,755,251 × 199,940,755,251
  4. Step 4: Simplify right side
    148,188,261,020x = 39,976,305,610,340,285,022,208
  5. Step 5: Solve for x
    x = 39,976,305,610,340,285,022,208/148,188,261,020
  6. Step 6: Final answer
    x = 269,767,020,242.89

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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.