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Finding the Third Proportional to 110,966.63 and 239,670.56

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Solution

The third proportional to 110,966.63 and 239,670.56 is: 517,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,966.63 : 239,670.56 = 239,670.56 : x
  2. Step 2: Convert to fraction form
    110,966.63/239,670.56 = 239,670.56/x
  3. Step 3: Cross multiply
    110,966.63x = 239,670.56 × 239,670.56
  4. Step 4: Simplify right side
    110,966.63x = 57,441,978,529.07
  5. Step 5: Solve for x
    x = 57,441,978,529.07/110,966.63
  6. Step 6: Final answer
    x = 517,650.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.