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Finding the Third Proportional to 48,198 and 102,228

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Solution

The third proportional to 48,198 and 102,228 is: 216,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198 : 102,228 = 102,228 : x
  2. Step 2: Convert to fraction form
    48,198/102,228 = 102,228/x
  3. Step 3: Cross multiply
    48,198x = 102,228 × 102,228
  4. Step 4: Simplify right side
    48,198x = 10,450,563,984
  5. Step 5: Solve for x
    x = 10,450,563,984/48,198
  6. Step 6: Final answer
    x = 216,825.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.