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Finding the Third Proportional to 93,654 and 203,213.25

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Solution

The third proportional to 93,654 and 203,213.25 is: 440,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,654 : 203,213.25 = 203,213.25 : x
  2. Step 2: Convert to fraction form
    93,654/203,213.25 = 203,213.25/x
  3. Step 3: Cross multiply
    93,654x = 203,213.25 × 203,213.25
  4. Step 4: Simplify right side
    93,654x = 41,295,624,975.56
  5. Step 5: Solve for x
    x = 41,295,624,975.56/93,654
  6. Step 6: Final answer
    x = 440,938.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.