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Finding the Third Proportional to 201,391,636 and 433,771,695

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Solution

The third proportional to 201,391,636 and 433,771,695 is: 934,288,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,636 : 433,771,695 = 433,771,695 : x
  2. Step 2: Convert to fraction form
    201,391,636/433,771,695 = 433,771,695/x
  3. Step 3: Cross multiply
    201,391,636x = 433,771,695 × 433,771,695
  4. Step 4: Simplify right side
    201,391,636x = 188,157,883,383,173,024
  5. Step 5: Solve for x
    x = 188,157,883,383,173,024/201,391,636
  6. Step 6: Final answer
    x = 934,288,469.57

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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.