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Finding the Third Proportional to 99,179 and 218,039

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Solution

The third proportional to 99,179 and 218,039 is: 479,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,179 : 218,039 = 218,039 : x
  2. Step 2: Convert to fraction form
    99,179/218,039 = 218,039/x
  3. Step 3: Cross multiply
    99,179x = 218,039 × 218,039
  4. Step 4: Simplify right side
    99,179x = 47,541,005,521
  5. Step 5: Solve for x
    x = 47,541,005,521/99,179
  6. Step 6: Final answer
    x = 479,345.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.