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Finding the Third Proportional to 109,382.91 and 237,438.84

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Solution

The third proportional to 109,382.91 and 237,438.84 is: 515,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,382.91 : 237,438.84 = 237,438.84 : x
  2. Step 2: Convert to fraction form
    109,382.91/237,438.84 = 237,438.84/x
  3. Step 3: Cross multiply
    109,382.91x = 237,438.84 × 237,438.84
  4. Step 4: Simplify right side
    109,382.91x = 56,377,204,521.34
  5. Step 5: Solve for x
    x = 56,377,204,521.34/109,382.91
  6. Step 6: Final answer
    x = 515,411.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.