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Finding the Third Proportional to 95,534.25 and 208,235.75

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Solution

The third proportional to 95,534.25 and 208,235.75 is: 453,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,534.25 : 208,235.75 = 208,235.75 : x
  2. Step 2: Convert to fraction form
    95,534.25/208,235.75 = 208,235.75/x
  3. Step 3: Cross multiply
    95,534.25x = 208,235.75 × 208,235.75
  4. Step 4: Simplify right side
    95,534.25x = 43,362,127,578.06
  5. Step 5: Solve for x
    x = 43,362,127,578.06/95,534.25
  6. Step 6: Final answer
    x = 453,890.91

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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.