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Finding the Third Proportional to 92,861 and 203,467.50

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Solution

The third proportional to 92,861 and 203,467.50 is: 445,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,861 : 203,467.50 = 203,467.50 : x
  2. Step 2: Convert to fraction form
    92,861/203,467.50 = 203,467.50/x
  3. Step 3: Cross multiply
    92,861x = 203,467.50 × 203,467.50
  4. Step 4: Simplify right side
    92,861x = 41,399,023,556.25
  5. Step 5: Solve for x
    x = 41,399,023,556.25/92,861
  6. Step 6: Final answer
    x = 445,817.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.