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Finding the Third Proportional to 159,059,369,180 and 246,969,993,738

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Solution

The third proportional to 159,059,369,180 and 246,969,993,738 is: 383,467,997,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,059,369,180 : 246,969,993,738 = 246,969,993,738 : x
  2. Step 2: Convert to fraction form
    159,059,369,180/246,969,993,738 = 246,969,993,738/x
  3. Step 3: Cross multiply
    159,059,369,180x = 246,969,993,738 × 246,969,993,738
  4. Step 4: Simplify right side
    159,059,369,180x = 60,994,177,806,947,758,112,768
  5. Step 5: Solve for x
    x = 60,994,177,806,947,758,112,768/159,059,369,180
  6. Step 6: Final answer
    x = 383,467,997,650.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.