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Finding the Third Proportional to 270,109,238 and 581,168,960

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Solution

The third proportional to 270,109,238 and 581,168,960 is: 1,250,447,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,109,238 : 581,168,960 = 581,168,960 : x
  2. Step 2: Convert to fraction form
    270,109,238/581,168,960 = 581,168,960/x
  3. Step 3: Cross multiply
    270,109,238x = 581,168,960 × 581,168,960
  4. Step 4: Simplify right side
    270,109,238x = 337,757,360,067,481,600
  5. Step 5: Solve for x
    x = 337,757,360,067,481,600/270,109,238
  6. Step 6: Final answer
    x = 1,250,447,272.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.