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Finding the Third Proportional to 93,689 and 204,625

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Solution

The third proportional to 93,689 and 204,625 is: 446,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,689 : 204,625 = 204,625 : x
  2. Step 2: Convert to fraction form
    93,689/204,625 = 204,625/x
  3. Step 3: Cross multiply
    93,689x = 204,625 × 204,625
  4. Step 4: Simplify right side
    93,689x = 41,871,390,625
  5. Step 5: Solve for x
    x = 41,871,390,625/93,689
  6. Step 6: Final answer
    x = 446,918.96

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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.