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Finding the Third Proportional to 147,647,288 and 323,086,243

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Solution

The third proportional to 147,647,288 and 323,086,243 is: 706,987,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,647,288 : 323,086,243 = 323,086,243 : x
  2. Step 2: Convert to fraction form
    147,647,288/323,086,243 = 323,086,243/x
  3. Step 3: Cross multiply
    147,647,288x = 323,086,243 × 323,086,243
  4. Step 4: Simplify right side
    147,647,288x = 104,384,720,415,855,056
  5. Step 5: Solve for x
    x = 104,384,720,415,855,056/147,647,288
  6. Step 6: Final answer
    x = 706,987,048.86

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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.