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Finding the Third Proportional to 109,238.63 and 149,500.69

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Solution

The third proportional to 109,238.63 and 149,500.69 is: 204,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,238.63 : 149,500.69 = 149,500.69 : x
  2. Step 2: Convert to fraction form
    109,238.63/149,500.69 = 149,500.69/x
  3. Step 3: Cross multiply
    109,238.63x = 149,500.69 × 149,500.69
  4. Step 4: Simplify right side
    109,238.63x = 22,350,455,562.97
  5. Step 5: Solve for x
    x = 22,350,455,562.97/109,238.63
  6. Step 6: Final answer
    x = 204,602.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.