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Finding the Third Proportional to 92,361 and 199,459

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Solution

The third proportional to 92,361 and 199,459 is: 430,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,361 : 199,459 = 199,459 : x
  2. Step 2: Convert to fraction form
    92,361/199,459 = 199,459/x
  3. Step 3: Cross multiply
    92,361x = 199,459 × 199,459
  4. Step 4: Simplify right side
    92,361x = 39,783,892,681
  5. Step 5: Solve for x
    x = 39,783,892,681/92,361
  6. Step 6: Final answer
    x = 430,743.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.