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Finding the Third Proportional to 49,009.50 and 106,246.13

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Solution

The third proportional to 49,009.50 and 106,246.13 is: 230,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,009.50 : 106,246.13 = 106,246.13 : x
  2. Step 2: Convert to fraction form
    49,009.50/106,246.13 = 106,246.13/x
  3. Step 3: Cross multiply
    49,009.50x = 106,246.13 × 106,246.13
  4. Step 4: Simplify right side
    49,009.50x = 11,288,239,077.52
  5. Step 5: Solve for x
    x = 11,288,239,077.52/49,009.50
  6. Step 6: Final answer
    x = 230,327.57

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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.