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Finding the Third Proportional to 179,365,797.56 and 256,493,395.97

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Solution

The third proportional to 179,365,797.56 and 256,493,395.97 is: 366,785,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,365,797.56 : 256,493,395.97 = 256,493,395.97 : x
  2. Step 2: Convert to fraction form
    179,365,797.56/256,493,395.97 = 256,493,395.97/x
  3. Step 3: Cross multiply
    179,365,797.56x = 256,493,395.97 × 256,493,395.97
  4. Step 4: Simplify right side
    179,365,797.56x = 65,788,862,175,581,976
  5. Step 5: Solve for x
    x = 65,788,862,175,581,976/179,365,797.56
  6. Step 6: Final answer
    x = 366,785,993.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.