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Finding the Third Proportional to 92,202 and 201,087

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Solution

The third proportional to 92,202 and 201,087 is: 438,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,202 : 201,087 = 201,087 : x
  2. Step 2: Convert to fraction form
    92,202/201,087 = 201,087/x
  3. Step 3: Cross multiply
    92,202x = 201,087 × 201,087
  4. Step 4: Simplify right side
    92,202x = 40,435,981,569
  5. Step 5: Solve for x
    x = 40,435,981,569/92,202
  6. Step 6: Final answer
    x = 438,558.62

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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.