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Finding the Third Proportional to 271,216,741.50 and 588,668,910.75

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Solution

The third proportional to 271,216,741.50 and 588,668,910.75 is: 1,277,690,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,216,741.50 : 588,668,910.75 = 588,668,910.75 : x
  2. Step 2: Convert to fraction form
    271,216,741.50/588,668,910.75 = 588,668,910.75/x
  3. Step 3: Cross multiply
    271,216,741.50x = 588,668,910.75 × 588,668,910.75
  4. Step 4: Simplify right side
    271,216,741.50x = 346,531,086,483,591,488
  5. Step 5: Solve for x
    x = 346,531,086,483,591,488/271,216,741.50
  6. Step 6: Final answer
    x = 1,277,690,619.57

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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.