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Finding the Third Proportional to 102,489.75 and 220,548.94

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Solution

The third proportional to 102,489.75 and 220,548.94 is: 474,601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,489.75 : 220,548.94 = 220,548.94 : x
  2. Step 2: Convert to fraction form
    102,489.75/220,548.94 = 220,548.94/x
  3. Step 3: Cross multiply
    102,489.75x = 220,548.94 × 220,548.94
  4. Step 4: Simplify right side
    102,489.75x = 48,641,833,832.38
  5. Step 5: Solve for x
    x = 48,641,833,832.38/102,489.75
  6. Step 6: Final answer
    x = 474,601.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.