Home / 181,684,163.44-398,542,772.25

Finding the Third Proportional to 181,684,163.44 and 398,542,772.25

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Solution

The third proportional to 181,684,163.44 and 398,542,772.25 is: 874,244,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,684,163.44 : 398,542,772.25 = 398,542,772.25 : x
  2. Step 2: Convert to fraction form
    181,684,163.44/398,542,772.25 = 398,542,772.25/x
  3. Step 3: Cross multiply
    181,684,163.44x = 398,542,772.25 × 398,542,772.25
  4. Step 4: Simplify right side
    181,684,163.44x = 158,836,341,312,715,360
  5. Step 5: Solve for x
    x = 158,836,341,312,715,360/181,684,163.44
  6. Step 6: Final answer
    x = 874,244,283.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.