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Finding the Third Proportional to 92,619 and 202,363

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Solution

The third proportional to 92,619 and 202,363 is: 442,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,619 : 202,363 = 202,363 : x
  2. Step 2: Convert to fraction form
    92,619/202,363 = 202,363/x
  3. Step 3: Cross multiply
    92,619x = 202,363 × 202,363
  4. Step 4: Simplify right side
    92,619x = 40,950,783,769
  5. Step 5: Solve for x
    x = 40,950,783,769/92,619
  6. Step 6: Final answer
    x = 442,142.37

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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.