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Finding the Third Proportional to 147,647,289 and 323,086,245

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Solution

The third proportional to 147,647,289 and 323,086,245 is: 706,987,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,647,289 : 323,086,245 = 323,086,245 : x
  2. Step 2: Convert to fraction form
    147,647,289/323,086,245 = 323,086,245/x
  3. Step 3: Cross multiply
    147,647,289x = 323,086,245 × 323,086,245
  4. Step 4: Simplify right side
    147,647,289x = 104,384,721,708,200,032
  5. Step 5: Solve for x
    x = 104,384,721,708,200,032/147,647,289
  6. Step 6: Final answer
    x = 706,987,052.83

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