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Finding the Third Proportional to 111,904.88 and 177,197.63

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Solution

The third proportional to 111,904.88 and 177,197.63 is: 280,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,904.88 : 177,197.63 = 177,197.63 : x
  2. Step 2: Convert to fraction form
    111,904.88/177,197.63 = 177,197.63/x
  3. Step 3: Cross multiply
    111,904.88x = 177,197.63 × 177,197.63
  4. Step 4: Simplify right side
    111,904.88x = 31,398,998,305.64
  5. Step 5: Solve for x
    x = 31,398,998,305.64/111,904.88
  6. Step 6: Final answer
    x = 280,586.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.