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Finding the Third Proportional to 90,079 and 208,538.50

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Solution

The third proportional to 90,079 and 208,538.50 is: 482,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,079 : 208,538.50 = 208,538.50 : x
  2. Step 2: Convert to fraction form
    90,079/208,538.50 = 208,538.50/x
  3. Step 3: Cross multiply
    90,079x = 208,538.50 × 208,538.50
  4. Step 4: Simplify right side
    90,079x = 43,488,305,982.25
  5. Step 5: Solve for x
    x = 43,488,305,982.25/90,079
  6. Step 6: Final answer
    x = 482,779.63

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.