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Finding the Third Proportional to 206,305,870.13 and 308,641,884

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Solution

The third proportional to 206,305,870.13 and 308,641,884 is: 461,740,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,305,870.13 : 308,641,884 = 308,641,884 : x
  2. Step 2: Convert to fraction form
    206,305,870.13/308,641,884 = 308,641,884/x
  3. Step 3: Cross multiply
    206,305,870.13x = 308,641,884 × 308,641,884
  4. Step 4: Simplify right side
    206,305,870.13x = 95,259,812,559,069,456
  5. Step 5: Solve for x
    x = 95,259,812,559,069,456/206,305,870.13
  6. Step 6: Final answer
    x = 461,740,679.03

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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.