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Finding the Third Proportional to 181,709,601 and 396,306,729

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Solution

The third proportional to 181,709,601 and 396,306,729 is: 864,340,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,709,601 : 396,306,729 = 396,306,729 : x
  2. Step 2: Convert to fraction form
    181,709,601/396,306,729 = 396,306,729/x
  3. Step 3: Cross multiply
    181,709,601x = 396,306,729 × 396,306,729
  4. Step 4: Simplify right side
    181,709,601x = 157,059,023,450,679,456
  5. Step 5: Solve for x
    x = 157,059,023,450,679,456/181,709,601
  6. Step 6: Final answer
    x = 864,340,808.56

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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.