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Finding the Third Proportional to 100,579 and 219,194

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Solution

The third proportional to 100,579 and 219,194 is: 477,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,579 : 219,194 = 219,194 : x
  2. Step 2: Convert to fraction form
    100,579/219,194 = 219,194/x
  3. Step 3: Cross multiply
    100,579x = 219,194 × 219,194
  4. Step 4: Simplify right side
    100,579x = 48,046,009,636
  5. Step 5: Solve for x
    x = 48,046,009,636/100,579
  6. Step 6: Final answer
    x = 477,694.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.