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Finding the Third Proportional to 90,083.25 and 208,518.75

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Solution

The third proportional to 90,083.25 and 208,518.75 is: 482,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,083.25 : 208,518.75 = 208,518.75 : x
  2. Step 2: Convert to fraction form
    90,083.25/208,518.75 = 208,518.75/x
  3. Step 3: Cross multiply
    90,083.25x = 208,518.75 × 208,518.75
  4. Step 4: Simplify right side
    90,083.25x = 43,480,069,101.56
  5. Step 5: Solve for x
    x = 43,480,069,101.56/90,083.25
  6. Step 6: Final answer
    x = 482,665.41

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Why These Related Problems?

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