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Finding the Third Proportional to 81,784.69 and 191,134.69

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Solution

The third proportional to 81,784.69 and 191,134.69 is: 446,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,784.69 : 191,134.69 = 191,134.69 : x
  2. Step 2: Convert to fraction form
    81,784.69/191,134.69 = 191,134.69/x
  3. Step 3: Cross multiply
    81,784.69x = 191,134.69 × 191,134.69
  4. Step 4: Simplify right side
    81,784.69x = 36,532,468,765.72
  5. Step 5: Solve for x
    x = 36,532,468,765.72/81,784.69
  6. Step 6: Final answer
    x = 446,690.82

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.