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Finding the Third Proportional to 181,684,155 and 398,542,753.50

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Solution

The third proportional to 181,684,155 and 398,542,753.50 is: 874,244,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,684,155 : 398,542,753.50 = 398,542,753.50 : x
  2. Step 2: Convert to fraction form
    181,684,155/398,542,753.50 = 398,542,753.50/x
  3. Step 3: Cross multiply
    181,684,155x = 398,542,753.50 × 398,542,753.50
  4. Step 4: Simplify right side
    181,684,155x = 158,836,326,367,361,760
  5. Step 5: Solve for x
    x = 158,836,326,367,361,760/181,684,155
  6. Step 6: Final answer
    x = 874,244,241.98

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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.