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Finding the Third Proportional to 208,642.08 and 449,679.09

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Solution

The third proportional to 208,642.08 and 449,679.09 is: 969,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,642.08 : 449,679.09 = 449,679.09 : x
  2. Step 2: Convert to fraction form
    208,642.08/449,679.09 = 449,679.09/x
  3. Step 3: Cross multiply
    208,642.08x = 449,679.09 × 449,679.09
  4. Step 4: Simplify right side
    208,642.08x = 202,211,287,355.82
  5. Step 5: Solve for x
    x = 202,211,287,355.82/208,642.08
  6. Step 6: Final answer
    x = 969,177.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.