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Finding the Third Proportional to 181,709,599.41 and 396,306,724.03

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Solution

The third proportional to 181,709,599.41 and 396,306,724.03 is: 864,340,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,709,599.41 : 396,306,724.03 = 396,306,724.03 : x
  2. Step 2: Convert to fraction form
    181,709,599.41/396,306,724.03 = 396,306,724.03/x
  3. Step 3: Cross multiply
    181,709,599.41x = 396,306,724.03 × 396,306,724.03
  4. Step 4: Simplify right side
    181,709,599.41x = 157,059,019,512,381,344
  5. Step 5: Solve for x
    x = 157,059,019,512,381,344/181,709,599.41
  6. Step 6: Final answer
    x = 864,340,794.46

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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.