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Finding the Third Proportional to 49,415.06 and 108,200.81

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Solution

The third proportional to 49,415.06 and 108,200.81 is: 236,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,415.06 : 108,200.81 = 108,200.81 : x
  2. Step 2: Convert to fraction form
    49,415.06/108,200.81 = 108,200.81/x
  3. Step 3: Cross multiply
    49,415.06x = 108,200.81 × 108,200.81
  4. Step 4: Simplify right side
    49,415.06x = 11,707,415,825.66
  5. Step 5: Solve for x
    x = 11,707,415,825.66/49,415.06
  6. Step 6: Final answer
    x = 236,919.98

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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.