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Finding the Third Proportional to 90,078.75 and 208,509.75

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Solution

The third proportional to 90,078.75 and 208,509.75 is: 482,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,078.75 : 208,509.75 = 208,509.75 : x
  2. Step 2: Convert to fraction form
    90,078.75/208,509.75 = 208,509.75/x
  3. Step 3: Cross multiply
    90,078.75x = 208,509.75 × 208,509.75
  4. Step 4: Simplify right side
    90,078.75x = 43,476,315,845.06
  5. Step 5: Solve for x
    x = 43,476,315,845.06/90,078.75
  6. Step 6: Final answer
    x = 482,647.86

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.