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Finding the Third Proportional to 250,917,921 and 543,538,010

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Solution

The third proportional to 250,917,921 and 543,538,010 is: 1,177,411,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,917,921 : 543,538,010 = 543,538,010 : x
  2. Step 2: Convert to fraction form
    250,917,921/543,538,010 = 543,538,010/x
  3. Step 3: Cross multiply
    250,917,921x = 543,538,010 × 543,538,010
  4. Step 4: Simplify right side
    250,917,921x = 295,433,568,314,760,128
  5. Step 5: Solve for x
    x = 295,433,568,314,760,128/250,917,921
  6. Step 6: Final answer
    x = 1,177,411,191.43

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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.