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Finding the Third Proportional to 111,466.13 and 194,536.69

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Solution

The third proportional to 111,466.13 and 194,536.69 is: 339,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,466.13 : 194,536.69 = 194,536.69 : x
  2. Step 2: Convert to fraction form
    111,466.13/194,536.69 = 194,536.69/x
  3. Step 3: Cross multiply
    111,466.13x = 194,536.69 × 194,536.69
  4. Step 4: Simplify right side
    111,466.13x = 37,844,522,783.47
  5. Step 5: Solve for x
    x = 37,844,522,783.47/111,466.13
  6. Step 6: Final answer
    x = 339,515.91

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.