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Finding the Third Proportional to 92,996 and 203,380

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Solution

The third proportional to 92,996 and 203,380 is: 444,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,996 : 203,380 = 203,380 : x
  2. Step 2: Convert to fraction form
    92,996/203,380 = 203,380/x
  3. Step 3: Cross multiply
    92,996x = 203,380 × 203,380
  4. Step 4: Simplify right side
    92,996x = 41,363,424,400
  5. Step 5: Solve for x
    x = 41,363,424,400/92,996
  6. Step 6: Final answer
    x = 444,787.13

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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.