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Finding the Third Proportional to 135,384,196 and 206,250,630

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Solution

The third proportional to 135,384,196 and 206,250,630 is: 314,211,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,384,196 : 206,250,630 = 206,250,630 : x
  2. Step 2: Convert to fraction form
    135,384,196/206,250,630 = 206,250,630/x
  3. Step 3: Cross multiply
    135,384,196x = 206,250,630 × 206,250,630
  4. Step 4: Simplify right side
    135,384,196x = 42,539,322,375,396,896
  5. Step 5: Solve for x
    x = 42,539,322,375,396,896/135,384,196
  6. Step 6: Final answer
    x = 314,211,877.25

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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.