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Finding the Third Proportional to 48,190 and 102,212

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Solution

The third proportional to 48,190 and 102,212 is: 216,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,190 : 102,212 = 102,212 : x
  2. Step 2: Convert to fraction form
    48,190/102,212 = 102,212/x
  3. Step 3: Cross multiply
    48,190x = 102,212 × 102,212
  4. Step 4: Simplify right side
    48,190x = 10,447,292,944
  5. Step 5: Solve for x
    x = 10,447,292,944/48,190
  6. Step 6: Final answer
    x = 216,793.79

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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.