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Finding the Third Proportional to 178,305,244.88 and 388,264,956.75

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Solution

The third proportional to 178,305,244.88 and 388,264,956.75 is: 845,458,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305,244.88 : 388,264,956.75 = 388,264,956.75 : x
  2. Step 2: Convert to fraction form
    178,305,244.88/388,264,956.75 = 388,264,956.75/x
  3. Step 3: Cross multiply
    178,305,244.88x = 388,264,956.75 × 388,264,956.75
  4. Step 4: Simplify right side
    178,305,244.88x = 150,749,676,640,079,360
  5. Step 5: Solve for x
    x = 150,749,676,640,079,360/178,305,244.88
  6. Step 6: Final answer
    x = 845,458,453.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.