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Finding the Third Proportional to 94,947.75 and 204,657.75

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Solution

The third proportional to 94,947.75 and 204,657.75 is: 441,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,947.75 : 204,657.75 = 204,657.75 : x
  2. Step 2: Convert to fraction form
    94,947.75/204,657.75 = 204,657.75/x
  3. Step 3: Cross multiply
    94,947.75x = 204,657.75 × 204,657.75
  4. Step 4: Simplify right side
    94,947.75x = 41,884,794,635.06
  5. Step 5: Solve for x
    x = 41,884,794,635.06/94,947.75
  6. Step 6: Final answer
    x = 441,135.20

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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.