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Finding the Third Proportional to 101,818 and 218,228

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Solution

The third proportional to 101,818 and 218,228 is: 467,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,818 : 218,228 = 218,228 : x
  2. Step 2: Convert to fraction form
    101,818/218,228 = 218,228/x
  3. Step 3: Cross multiply
    101,818x = 218,228 × 218,228
  4. Step 4: Simplify right side
    101,818x = 47,623,459,984
  5. Step 5: Solve for x
    x = 47,623,459,984/101,818
  6. Step 6: Final answer
    x = 467,731.25

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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.