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Finding the Third Proportional to 48,098 and 103,108

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Solution

The third proportional to 48,098 and 103,108 is: 221,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,098 : 103,108 = 103,108 : x
  2. Step 2: Convert to fraction form
    48,098/103,108 = 103,108/x
  3. Step 3: Cross multiply
    48,098x = 103,108 × 103,108
  4. Step 4: Simplify right side
    48,098x = 10,631,259,664
  5. Step 5: Solve for x
    x = 10,631,259,664/48,098
  6. Step 6: Final answer
    x = 221,033.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.