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Finding the Third Proportional to 135,337,216 and 203,047,296

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Solution

The third proportional to 135,337,216 and 203,047,296 is: 304,633,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,337,216 : 203,047,296 = 203,047,296 : x
  2. Step 2: Convert to fraction form
    135,337,216/203,047,296 = 203,047,296/x
  3. Step 3: Cross multiply
    135,337,216x = 203,047,296 × 203,047,296
  4. Step 4: Simplify right side
    135,337,216x = 41,228,204,412,911,616
  5. Step 5: Solve for x
    x = 41,228,204,412,911,616/135,337,216
  6. Step 6: Final answer
    x = 304,633,164.71

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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.