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Finding the Third Proportional to 93,186 and 201,204

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Solution

The third proportional to 93,186 and 201,204 is: 434,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,186 : 201,204 = 201,204 : x
  2. Step 2: Convert to fraction form
    93,186/201,204 = 201,204/x
  3. Step 3: Cross multiply
    93,186x = 201,204 × 201,204
  4. Step 4: Simplify right side
    93,186x = 40,483,049,616
  5. Step 5: Solve for x
    x = 40,483,049,616/93,186
  6. Step 6: Final answer
    x = 434,432.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.