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Finding the Third Proportional to 93,614 and 203,914

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Solution

The third proportional to 93,614 and 203,914 is: 444,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,614 : 203,914 = 203,914 : x
  2. Step 2: Convert to fraction form
    93,614/203,914 = 203,914/x
  3. Step 3: Cross multiply
    93,614x = 203,914 × 203,914
  4. Step 4: Simplify right side
    93,614x = 41,580,919,396
  5. Step 5: Solve for x
    x = 41,580,919,396/93,614
  6. Step 6: Final answer
    x = 444,174.16

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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.