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Finding the Third Proportional to 133,669,498 and 204,478,108

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Solution

The third proportional to 133,669,498 and 204,478,108 is: 312,796,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,669,498 : 204,478,108 = 204,478,108 : x
  2. Step 2: Convert to fraction form
    133,669,498/204,478,108 = 204,478,108/x
  3. Step 3: Cross multiply
    133,669,498x = 204,478,108 × 204,478,108
  4. Step 4: Simplify right side
    133,669,498x = 41,811,296,651,259,664
  5. Step 5: Solve for x
    x = 41,811,296,651,259,664/133,669,498
  6. Step 6: Final answer
    x = 312,796,092.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.