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Finding the Third Proportional to 271,216,739.25 and 588,668,906.25

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Solution

The third proportional to 271,216,739.25 and 588,668,906.25 is: 1,277,690,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,216,739.25 : 588,668,906.25 = 588,668,906.25 : x
  2. Step 2: Convert to fraction form
    271,216,739.25/588,668,906.25 = 588,668,906.25/x
  3. Step 3: Cross multiply
    271,216,739.25x = 588,668,906.25 × 588,668,906.25
  4. Step 4: Simplify right side
    271,216,739.25x = 346,531,081,185,571,264
  5. Step 5: Solve for x
    x = 346,531,081,185,571,264/271,216,739.25
  6. Step 6: Final answer
    x = 1,277,690,610.63

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Why These Related Problems?

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