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Finding the Third Proportional to 49,108 and 100,283

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Solution

The third proportional to 49,108 and 100,283 is: 204,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,108 : 100,283 = 100,283 : x
  2. Step 2: Convert to fraction form
    49,108/100,283 = 100,283/x
  3. Step 3: Cross multiply
    49,108x = 100,283 × 100,283
  4. Step 4: Simplify right side
    49,108x = 10,056,680,089
  5. Step 5: Solve for x
    x = 10,056,680,089/49,108
  6. Step 6: Final answer
    x = 204,787.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.