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Finding the Third Proportional to 147,647,286 and 323,086,239

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Solution

The third proportional to 147,647,286 and 323,086,239 is: 706,987,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,647,286 : 323,086,239 = 323,086,239 : x
  2. Step 2: Convert to fraction form
    147,647,286/323,086,239 = 323,086,239/x
  3. Step 3: Cross multiply
    147,647,286x = 323,086,239 × 323,086,239
  4. Step 4: Simplify right side
    147,647,286x = 104,384,717,831,165,120
  5. Step 5: Solve for x
    x = 104,384,717,831,165,120/147,647,286
  6. Step 6: Final answer
    x = 706,987,040.93

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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.