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Finding the Third Proportional to 102,173.06 and 222,737.63

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Solution

The third proportional to 102,173.06 and 222,737.63 is: 485,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,173.06 : 222,737.63 = 222,737.63 : x
  2. Step 2: Convert to fraction form
    102,173.06/222,737.63 = 222,737.63/x
  3. Step 3: Cross multiply
    102,173.06x = 222,737.63 × 222,737.63
  4. Step 4: Simplify right side
    102,173.06x = 49,612,049,590.64
  5. Step 5: Solve for x
    x = 49,612,049,590.64/102,173.06
  6. Step 6: Final answer
    x = 485,568.78

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Why These Related Problems?

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