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Finding the Third Proportional to 98,923 and 219,194

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Solution

The third proportional to 98,923 and 219,194 is: 485,690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,923 : 219,194 = 219,194 : x
  2. Step 2: Convert to fraction form
    98,923/219,194 = 219,194/x
  3. Step 3: Cross multiply
    98,923x = 219,194 × 219,194
  4. Step 4: Simplify right side
    98,923x = 48,046,009,636
  5. Step 5: Solve for x
    x = 48,046,009,636/98,923
  6. Step 6: Final answer
    x = 485,690.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.