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Finding the Third Proportional to 92,212 and 201,176

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Solution

The third proportional to 92,212 and 201,176 is: 438,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,212 : 201,176 = 201,176 : x
  2. Step 2: Convert to fraction form
    92,212/201,176 = 201,176/x
  3. Step 3: Cross multiply
    92,212x = 201,176 × 201,176
  4. Step 4: Simplify right side
    92,212x = 40,471,782,976
  5. Step 5: Solve for x
    x = 40,471,782,976/92,212
  6. Step 6: Final answer
    x = 438,899.31

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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.