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Finding the Third Proportional to 103,096 and 226,116

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Solution

The third proportional to 103,096 and 226,116 is: 495,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,096 : 226,116 = 226,116 : x
  2. Step 2: Convert to fraction form
    103,096/226,116 = 226,116/x
  3. Step 3: Cross multiply
    103,096x = 226,116 × 226,116
  4. Step 4: Simplify right side
    103,096x = 51,128,445,456
  5. Step 5: Solve for x
    x = 51,128,445,456/103,096
  6. Step 6: Final answer
    x = 495,930.45

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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.