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Finding the Third Proportional to 109,513.27 and 235,387.27

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Solution

The third proportional to 109,513.27 and 235,387.27 is: 505,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,513.27 : 235,387.27 = 235,387.27 : x
  2. Step 2: Convert to fraction form
    109,513.27/235,387.27 = 235,387.27/x
  3. Step 3: Cross multiply
    109,513.27x = 235,387.27 × 235,387.27
  4. Step 4: Simplify right side
    109,513.27x = 55,407,164,818.41
  5. Step 5: Solve for x
    x = 55,407,164,818.41/109,513.27
  6. Step 6: Final answer
    x = 505,940.21

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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.