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Finding the Third Proportional to 111,084.19 and 158,738.63

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Solution

The third proportional to 111,084.19 and 158,738.63 is: 226,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,084.19 : 158,738.63 = 158,738.63 : x
  2. Step 2: Convert to fraction form
    111,084.19/158,738.63 = 158,738.63/x
  3. Step 3: Cross multiply
    111,084.19x = 158,738.63 × 158,738.63
  4. Step 4: Simplify right side
    111,084.19x = 25,197,951,066.89
  5. Step 5: Solve for x
    x = 25,197,951,066.89/111,084.19
  6. Step 6: Final answer
    x = 226,836.52

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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.