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Finding the Third Proportional to 206,305,942 and 308,641,981

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Solution

The third proportional to 206,305,942 and 308,641,981 is: 461,740,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,305,942 : 308,641,981 = 308,641,981 : x
  2. Step 2: Convert to fraction form
    206,305,942/308,641,981 = 308,641,981/x
  3. Step 3: Cross multiply
    206,305,942x = 308,641,981 × 308,641,981
  4. Step 4: Simplify right side
    206,305,942x = 95,259,872,435,604,368
  5. Step 5: Solve for x
    x = 95,259,872,435,604,368/206,305,942
  6. Step 6: Final answer
    x = 461,740,808.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.