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Finding the Third Proportional to 101,268 and 218,117

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Solution

The third proportional to 101,268 and 218,117 is: 469,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,268 : 218,117 = 218,117 : x
  2. Step 2: Convert to fraction form
    101,268/218,117 = 218,117/x
  3. Step 3: Cross multiply
    101,268x = 218,117 × 218,117
  4. Step 4: Simplify right side
    101,268x = 47,575,025,689
  5. Step 5: Solve for x
    x = 47,575,025,689/101,268
  6. Step 6: Final answer
    x = 469,793.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.