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Finding the Third Proportional to 151,187,821,147 and 323,940,520,343

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Solution

The third proportional to 151,187,821,147 and 323,940,520,343 is: 694,086,732,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,187,821,147 : 323,940,520,343 = 323,940,520,343 : x
  2. Step 2: Convert to fraction form
    151,187,821,147/323,940,520,343 = 323,940,520,343/x
  3. Step 3: Cross multiply
    151,187,821,147x = 323,940,520,343 × 323,940,520,343
  4. Step 4: Simplify right side
    151,187,821,147x = 104,937,460,720,093,601,202,176
  5. Step 5: Solve for x
    x = 104,937,460,720,093,601,202,176/151,187,821,147
  6. Step 6: Final answer
    x = 694,086,732,145.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.