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Finding the Third Proportional to 271,214,839.88 and 588,665,046.38

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Solution

The third proportional to 271,214,839.88 and 588,665,046.38 is: 1,277,682,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,214,839.88 : 588,665,046.38 = 588,665,046.38 : x
  2. Step 2: Convert to fraction form
    271,214,839.88/588,665,046.38 = 588,665,046.38/x
  3. Step 3: Cross multiply
    271,214,839.88x = 588,665,046.38 × 588,665,046.38
  4. Step 4: Simplify right side
    271,214,839.88x = 346,526,536,823,680,896
  5. Step 5: Solve for x
    x = 346,526,536,823,680,896/271,214,839.88
  6. Step 6: Final answer
    x = 1,277,682,802.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.