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Finding the Third Proportional to 92,206 and 201,168

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Solution

The third proportional to 92,206 and 201,168 is: 438,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,206 : 201,168 = 201,168 : x
  2. Step 2: Convert to fraction form
    92,206/201,168 = 201,168/x
  3. Step 3: Cross multiply
    92,206x = 201,168 × 201,168
  4. Step 4: Simplify right side
    92,206x = 40,468,564,224
  5. Step 5: Solve for x
    x = 40,468,564,224/92,206
  6. Step 6: Final answer
    x = 438,892.96

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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.