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Finding the Third Proportional to 110,986.45 and 239,707.16

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Solution

The third proportional to 110,986.45 and 239,707.16 is: 517,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,986.45 : 239,707.16 = 239,707.16 : x
  2. Step 2: Convert to fraction form
    110,986.45/239,707.16 = 239,707.16/x
  3. Step 3: Cross multiply
    110,986.45x = 239,707.16 × 239,707.16
  4. Step 4: Simplify right side
    110,986.45x = 57,459,522,630.17
  5. Step 5: Solve for x
    x = 57,459,522,630.17/110,986.45
  6. Step 6: Final answer
    x = 517,716.54

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Why These Related Problems?

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