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Finding the Third Proportional to 135,434,609.25 and 206,320,634.25

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Solution

The third proportional to 135,434,609.25 and 206,320,634.25 is: 314,308,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,434,609.25 : 206,320,634.25 = 206,320,634.25 : x
  2. Step 2: Convert to fraction form
    135,434,609.25/206,320,634.25 = 206,320,634.25/x
  3. Step 3: Cross multiply
    135,434,609.25x = 206,320,634.25 × 206,320,634.25
  4. Step 4: Simplify right side
    135,434,609.25x = 42,568,204,117,322,272
  5. Step 5: Solve for x
    x = 42,568,204,117,322,272/135,434,609.25
  6. Step 6: Final answer
    x = 314,308,169.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.