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Finding the Third Proportional to 98,942 and 219,226

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Solution

The third proportional to 98,942 and 219,226 is: 485,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,942 : 219,226 = 219,226 : x
  2. Step 2: Convert to fraction form
    98,942/219,226 = 219,226/x
  3. Step 3: Cross multiply
    98,942x = 219,226 × 219,226
  4. Step 4: Simplify right side
    98,942x = 48,060,039,076
  5. Step 5: Solve for x
    x = 48,060,039,076/98,942
  6. Step 6: Final answer
    x = 485,739.51

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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.