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Finding the Third Proportional to 156,153,834 and 339,189,003

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Solution

The third proportional to 156,153,834 and 339,189,003 is: 736,768,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,153,834 : 339,189,003 = 339,189,003 : x
  2. Step 2: Convert to fraction form
    156,153,834/339,189,003 = 339,189,003/x
  3. Step 3: Cross multiply
    156,153,834x = 339,189,003 × 339,189,003
  4. Step 4: Simplify right side
    156,153,834x = 115,049,179,756,134,016
  5. Step 5: Solve for x
    x = 115,049,179,756,134,016/156,153,834
  6. Step 6: Final answer
    x = 736,768,203.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.