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Finding the Third Proportional to 180,311,268 and 270,503,844

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Solution

The third proportional to 180,311,268 and 270,503,844 is: 405,811,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,311,268 : 270,503,844 = 270,503,844 : x
  2. Step 2: Convert to fraction form
    180,311,268/270,503,844 = 270,503,844/x
  3. Step 3: Cross multiply
    180,311,268x = 270,503,844 × 270,503,844
  4. Step 4: Simplify right side
    180,311,268x = 73,172,329,618,776,336
  5. Step 5: Solve for x
    x = 73,172,329,618,776,336/180,311,268
  6. Step 6: Final answer
    x = 405,811,186.57

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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.