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Finding the Third Proportional to 90,893.25 and 196,305.75

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Solution

The third proportional to 90,893.25 and 196,305.75 is: 423,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,893.25 : 196,305.75 = 196,305.75 : x
  2. Step 2: Convert to fraction form
    90,893.25/196,305.75 = 196,305.75/x
  3. Step 3: Cross multiply
    90,893.25x = 196,305.75 × 196,305.75
  4. Step 4: Simplify right side
    90,893.25x = 38,535,947,483.06
  5. Step 5: Solve for x
    x = 38,535,947,483.06/90,893.25
  6. Step 6: Final answer
    x = 423,969.30

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Why These Related Problems?

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