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Finding the Third Proportional to 92,406 and 201,390

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Solution

The third proportional to 92,406 and 201,390 is: 438,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,406 : 201,390 = 201,390 : x
  2. Step 2: Convert to fraction form
    92,406/201,390 = 201,390/x
  3. Step 3: Cross multiply
    92,406x = 201,390 × 201,390
  4. Step 4: Simplify right side
    92,406x = 40,557,932,100
  5. Step 5: Solve for x
    x = 40,557,932,100/92,406
  6. Step 6: Final answer
    x = 438,910.16

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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.