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Finding the Third Proportional to 206,305,938 and 308,641,975.50

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Solution

The third proportional to 206,305,938 and 308,641,975.50 is: 461,740,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,305,938 : 308,641,975.50 = 308,641,975.50 : x
  2. Step 2: Convert to fraction form
    206,305,938/308,641,975.50 = 308,641,975.50/x
  3. Step 3: Cross multiply
    206,305,938x = 308,641,975.50 × 308,641,975.50
  4. Step 4: Simplify right side
    206,305,938x = 95,259,869,040,542,608
  5. Step 5: Solve for x
    x = 95,259,869,040,542,608/206,305,938
  6. Step 6: Final answer
    x = 461,740,800.89

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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.