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Finding the Third Proportional to 202,940,858 and 313,737,627

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Solution

The third proportional to 202,940,858 and 313,737,627 is: 485,024,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,940,858 : 313,737,627 = 313,737,627 : x
  2. Step 2: Convert to fraction form
    202,940,858/313,737,627 = 313,737,627/x
  3. Step 3: Cross multiply
    202,940,858x = 313,737,627 × 313,737,627
  4. Step 4: Simplify right side
    202,940,858x = 98,431,298,595,591,136
  5. Step 5: Solve for x
    x = 98,431,298,595,591,136/202,940,858
  6. Step 6: Final answer
    x = 485,024,551.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.