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Finding the Third Proportional to 135,384,236 and 206,250,690

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Solution

The third proportional to 135,384,236 and 206,250,690 is: 314,211,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,384,236 : 206,250,690 = 206,250,690 : x
  2. Step 2: Convert to fraction form
    135,384,236/206,250,690 = 206,250,690/x
  3. Step 3: Cross multiply
    135,384,236x = 206,250,690 × 206,250,690
  4. Step 4: Simplify right side
    135,384,236x = 42,539,347,125,476,096
  5. Step 5: Solve for x
    x = 42,539,347,125,476,096/135,384,236
  6. Step 6: Final answer
    x = 314,211,967.23

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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.