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Finding the Third Proportional to 111,416,253,066 and 244,720,529,198

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Solution

The third proportional to 111,416,253,066 and 244,720,529,198 is: 537,517,065,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,416,253,066 : 244,720,529,198 = 244,720,529,198 : x
  2. Step 2: Convert to fraction form
    111,416,253,066/244,720,529,198 = 244,720,529,198/x
  3. Step 3: Cross multiply
    111,416,253,066x = 244,720,529,198 × 244,720,529,198
  4. Step 4: Simplify right side
    111,416,253,066x = 59,888,137,410,949,173,739,520
  5. Step 5: Solve for x
    x = 59,888,137,410,949,173,739,520/111,416,253,066
  6. Step 6: Final answer
    x = 537,517,065,624.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.