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Finding the Third Proportional to 206,305,884 and 308,641,902.75

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Solution

The third proportional to 206,305,884 and 308,641,902.75 is: 461,740,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,305,884 : 308,641,902.75 = 308,641,902.75 : x
  2. Step 2: Convert to fraction form
    206,305,884/308,641,902.75 = 308,641,902.75/x
  3. Step 3: Cross multiply
    206,305,884x = 308,641,902.75 × 308,641,902.75
  4. Step 4: Simplify right side
    206,305,884x = 95,259,824,133,140,464
  5. Step 5: Solve for x
    x = 95,259,824,133,140,464/206,305,884
  6. Step 6: Final answer
    x = 461,740,704.08

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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.