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Finding the Third Proportional to 49,584.66 and 107,226.28

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Solution

The third proportional to 49,584.66 and 107,226.28 is: 231,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,584.66 : 107,226.28 = 107,226.28 : x
  2. Step 2: Convert to fraction form
    49,584.66/107,226.28 = 107,226.28/x
  3. Step 3: Cross multiply
    49,584.66x = 107,226.28 × 107,226.28
  4. Step 4: Simplify right side
    49,584.66x = 11,497,475,390.70
  5. Step 5: Solve for x
    x = 11,497,475,390.70/49,584.66
  6. Step 6: Final answer
    x = 231,875.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.