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Finding the Third Proportional to 93,217.50 and 203,047.31

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Solution

The third proportional to 93,217.50 and 203,047.31 is: 442,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,217.50 : 203,047.31 = 203,047.31 : x
  2. Step 2: Convert to fraction form
    93,217.50/203,047.31 = 203,047.31/x
  3. Step 3: Cross multiply
    93,217.50x = 203,047.31 × 203,047.31
  4. Step 4: Simplify right side
    93,217.50x = 41,228,211,113.47
  5. Step 5: Solve for x
    x = 41,228,211,113.47/93,217.50
  6. Step 6: Final answer
    x = 442,279.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.