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Finding the Third Proportional to 49,423.50 and 107,794.13

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Solution

The third proportional to 49,423.50 and 107,794.13 is: 235,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,423.50 : 107,794.13 = 107,794.13 : x
  2. Step 2: Convert to fraction form
    49,423.50/107,794.13 = 107,794.13/x
  3. Step 3: Cross multiply
    49,423.50x = 107,794.13 × 107,794.13
  4. Step 4: Simplify right side
    49,423.50x = 11,619,573,384.52
  5. Step 5: Solve for x
    x = 11,619,573,384.52/49,423.50
  6. Step 6: Final answer
    x = 235,102.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.