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Finding the Third Proportional to 94,772.50 and 204,233

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Solution

The third proportional to 94,772.50 and 204,233 is: 440,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,772.50 : 204,233 = 204,233 : x
  2. Step 2: Convert to fraction form
    94,772.50/204,233 = 204,233/x
  3. Step 3: Cross multiply
    94,772.50x = 204,233 × 204,233
  4. Step 4: Simplify right side
    94,772.50x = 41,711,118,289
  5. Step 5: Solve for x
    x = 41,711,118,289/94,772.50
  6. Step 6: Final answer
    x = 440,118.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.