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Finding the Third Proportional to 45,851.50 and 96,679.94

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Solution

The third proportional to 45,851.50 and 96,679.94 is: 203,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,851.50 : 96,679.94 = 96,679.94 : x
  2. Step 2: Convert to fraction form
    45,851.50/96,679.94 = 96,679.94/x
  3. Step 3: Cross multiply
    45,851.50x = 96,679.94 × 96,679.94
  4. Step 4: Simplify right side
    45,851.50x = 9,347,010,315.00
  5. Step 5: Solve for x
    x = 9,347,010,315.00/45,851.50
  6. Step 6: Final answer
    x = 203,853.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.