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Finding the Third Proportional to 92,538 and 201,828

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Solution

The third proportional to 92,538 and 201,828 is: 440,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,538 : 201,828 = 201,828 : x
  2. Step 2: Convert to fraction form
    92,538/201,828 = 201,828/x
  3. Step 3: Cross multiply
    92,538x = 201,828 × 201,828
  4. Step 4: Simplify right side
    92,538x = 40,734,541,584
  5. Step 5: Solve for x
    x = 40,734,541,584/92,538
  6. Step 6: Final answer
    x = 440,192.59

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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.