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Finding the Third Proportional to 201,391,589 and 433,771,601

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Solution

The third proportional to 201,391,589 and 433,771,601 is: 934,288,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,589 : 433,771,601 = 433,771,601 : x
  2. Step 2: Convert to fraction form
    201,391,589/433,771,601 = 433,771,601/x
  3. Step 3: Cross multiply
    201,391,589x = 433,771,601 × 433,771,601
  4. Step 4: Simplify right side
    201,391,589x = 188,157,801,834,103,200
  5. Step 5: Solve for x
    x = 188,157,801,834,103,200/201,391,589
  6. Step 6: Final answer
    x = 934,288,282.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.