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Finding the Third Proportional to 271,638,357.75 and 589,213,104.75

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Solution

The third proportional to 271,638,357.75 and 589,213,104.75 is: 1,278,067,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,638,357.75 : 589,213,104.75 = 589,213,104.75 : x
  2. Step 2: Convert to fraction form
    271,638,357.75/589,213,104.75 = 589,213,104.75/x
  3. Step 3: Cross multiply
    271,638,357.75x = 589,213,104.75 × 589,213,104.75
  4. Step 4: Simplify right side
    271,638,357.75x = 347,172,082,809,134,464
  5. Step 5: Solve for x
    x = 347,172,082,809,134,464/271,638,357.75
  6. Step 6: Final answer
    x = 1,278,067,227.64

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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.