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Finding the Third Proportional to 171,969,618,800 and 256,463,127,380

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Solution

The third proportional to 171,969,618,800 and 256,463,127,380 is: 382,470,672,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,969,618,800 : 256,463,127,380 = 256,463,127,380 : x
  2. Step 2: Convert to fraction form
    171,969,618,800/256,463,127,380 = 256,463,127,380/x
  3. Step 3: Cross multiply
    171,969,618,800x = 256,463,127,380 × 256,463,127,380
  4. Step 4: Simplify right side
    171,969,618,800x = 65,773,335,705,530,102,972,416
  5. Step 5: Solve for x
    x = 65,773,335,705,530,102,972,416/171,969,618,800
  6. Step 6: Final answer
    x = 382,470,672,229.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.