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Finding the Third Proportional to 102,192.75 and 220,227.75

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Solution

The third proportional to 102,192.75 and 220,227.75 is: 474,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,192.75 : 220,227.75 = 220,227.75 : x
  2. Step 2: Convert to fraction form
    102,192.75/220,227.75 = 220,227.75/x
  3. Step 3: Cross multiply
    102,192.75x = 220,227.75 × 220,227.75
  4. Step 4: Simplify right side
    102,192.75x = 48,500,261,870.06
  5. Step 5: Solve for x
    x = 48,500,261,870.06/102,192.75
  6. Step 6: Final answer
    x = 474,595.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.