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Finding the Third Proportional to 206,629,768 and 449,579,035

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Solution

The third proportional to 206,629,768 and 449,579,035 is: 978,180,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,629,768 : 449,579,035 = 449,579,035 : x
  2. Step 2: Convert to fraction form
    206,629,768/449,579,035 = 449,579,035/x
  3. Step 3: Cross multiply
    206,629,768x = 449,579,035 × 449,579,035
  4. Step 4: Simplify right side
    206,629,768x = 202,121,308,711,531,232
  5. Step 5: Solve for x
    x = 202,121,308,711,531,232/206,629,768
  6. Step 6: Final answer
    x = 978,180,978.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.