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Finding the Third Proportional to 181,684,145.25 and 398,542,725

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Solution

The third proportional to 181,684,145.25 and 398,542,725 is: 874,244,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,684,145.25 : 398,542,725 = 398,542,725 : x
  2. Step 2: Convert to fraction form
    181,684,145.25/398,542,725 = 398,542,725/x
  3. Step 3: Cross multiply
    181,684,145.25x = 398,542,725 × 398,542,725
  4. Step 4: Simplify right side
    181,684,145.25x = 158,836,303,650,425,632
  5. Step 5: Solve for x
    x = 158,836,303,650,425,632/181,684,145.25
  6. Step 6: Final answer
    x = 874,244,163.86

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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.