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Finding the Third Proportional to 180,311,272 and 270,503,850

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Solution

The third proportional to 180,311,272 and 270,503,850 is: 405,811,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,311,272 : 270,503,850 = 270,503,850 : x
  2. Step 2: Convert to fraction form
    180,311,272/270,503,850 = 270,503,850/x
  3. Step 3: Cross multiply
    180,311,272x = 270,503,850 × 270,503,850
  4. Step 4: Simplify right side
    180,311,272x = 73,172,332,864,822,496
  5. Step 5: Solve for x
    x = 73,172,332,864,822,496/180,311,272
  6. Step 6: Final answer
    x = 405,811,195.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.