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Finding the Third Proportional to 45,784.69 and 95,077.69

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Solution

The third proportional to 45,784.69 and 95,077.69 is: 197,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,784.69 : 95,077.69 = 95,077.69 : x
  2. Step 2: Convert to fraction form
    45,784.69/95,077.69 = 95,077.69/x
  3. Step 3: Cross multiply
    45,784.69x = 95,077.69 × 95,077.69
  4. Step 4: Simplify right side
    45,784.69x = 9,039,766,660.35
  5. Step 5: Solve for x
    x = 9,039,766,660.35/45,784.69
  6. Step 6: Final answer
    x = 197,440.83

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.