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Finding the Third Proportional to 102,049.50 and 215,442.75

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Solution

The third proportional to 102,049.50 and 215,442.75 is: 454,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,049.50 : 215,442.75 = 215,442.75 : x
  2. Step 2: Convert to fraction form
    102,049.50/215,442.75 = 215,442.75/x
  3. Step 3: Cross multiply
    102,049.50x = 215,442.75 × 215,442.75
  4. Step 4: Simplify right side
    102,049.50x = 46,415,578,527.56
  5. Step 5: Solve for x
    x = 46,415,578,527.56/102,049.50
  6. Step 6: Final answer
    x = 454,833.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.