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Finding the Third Proportional to 92,822.20 and 203,394.80

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Solution

The third proportional to 92,822.20 and 203,394.80 is: 445,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,822.20 : 203,394.80 = 203,394.80 : x
  2. Step 2: Convert to fraction form
    92,822.20/203,394.80 = 203,394.80/x
  3. Step 3: Cross multiply
    92,822.20x = 203,394.80 × 203,394.80
  4. Step 4: Simplify right side
    92,822.20x = 41,369,443,395.82
  5. Step 5: Solve for x
    x = 41,369,443,395.82/92,822.20
  6. Step 6: Final answer
    x = 445,684.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.