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Finding the Third Proportional to 111,207.94 and 158,896.69

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Solution

The third proportional to 111,207.94 and 158,896.69 is: 227,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,207.94 : 158,896.69 = 158,896.69 : x
  2. Step 2: Convert to fraction form
    111,207.94/158,896.69 = 158,896.69/x
  3. Step 3: Cross multiply
    111,207.94x = 158,896.69 × 158,896.69
  4. Step 4: Simplify right side
    111,207.94x = 25,248,157,298.47
  5. Step 5: Solve for x
    x = 25,248,157,298.47/111,207.94
  6. Step 6: Final answer
    x = 227,035.57

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.