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Finding the Third Proportional to 122,643,942.75 and 188,512,522.88

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Solution

The third proportional to 122,643,942.75 and 188,512,522.88 is: 289,757,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,643,942.75 : 188,512,522.88 = 188,512,522.88 : x
  2. Step 2: Convert to fraction form
    122,643,942.75/188,512,522.88 = 188,512,522.88/x
  3. Step 3: Cross multiply
    122,643,942.75x = 188,512,522.88 × 188,512,522.88
  4. Step 4: Simplify right side
    122,643,942.75x = 35,536,971,280,697,400
  5. Step 5: Solve for x
    x = 35,536,971,280,697,400/122,643,942.75
  6. Step 6: Final answer
    x = 289,757,247.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.