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Finding the Third Proportional to 109,436.91 and 239,633.86

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Solution

The third proportional to 109,436.91 and 239,633.86 is: 524,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,436.91 : 239,633.86 = 239,633.86 : x
  2. Step 2: Convert to fraction form
    109,436.91/239,633.86 = 239,633.86/x
  3. Step 3: Cross multiply
    109,436.91x = 239,633.86 × 239,633.86
  4. Step 4: Simplify right side
    109,436.91x = 57,424,386,558.96
  5. Step 5: Solve for x
    x = 57,424,386,558.96/109,436.91
  6. Step 6: Final answer
    x = 524,725.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.