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Finding the Third Proportional to 135,337,214 and 203,047,293

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Solution

The third proportional to 135,337,214 and 203,047,293 is: 304,633,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,337,214 : 203,047,293 = 203,047,293 : x
  2. Step 2: Convert to fraction form
    135,337,214/203,047,293 = 203,047,293/x
  3. Step 3: Cross multiply
    135,337,214x = 203,047,293 × 203,047,293
  4. Step 4: Simplify right side
    135,337,214x = 41,228,203,194,627,848
  5. Step 5: Solve for x
    x = 41,228,203,194,627,848/135,337,214
  6. Step 6: Final answer
    x = 304,633,160.21

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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.