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Finding the Third Proportional to 104,593.50 and 215,376.75

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Solution

The third proportional to 104,593.50 and 215,376.75 is: 443,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,593.50 : 215,376.75 = 215,376.75 : x
  2. Step 2: Convert to fraction form
    104,593.50/215,376.75 = 215,376.75/x
  3. Step 3: Cross multiply
    104,593.50x = 215,376.75 × 215,376.75
  4. Step 4: Simplify right side
    104,593.50x = 46,387,144,440.56
  5. Step 5: Solve for x
    x = 46,387,144,440.56/104,593.50
  6. Step 6: Final answer
    x = 443,499.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.