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Finding the Third Proportional to 44,192.81 and 96,069.94

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Solution

The third proportional to 44,192.81 and 96,069.94 is: 208,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,192.81 : 96,069.94 = 96,069.94 : x
  2. Step 2: Convert to fraction form
    44,192.81/96,069.94 = 96,069.94/x
  3. Step 3: Cross multiply
    44,192.81x = 96,069.94 × 96,069.94
  4. Step 4: Simplify right side
    44,192.81x = 9,229,432,891.25
  5. Step 5: Solve for x
    x = 9,229,432,891.25/44,192.81
  6. Step 6: Final answer
    x = 208,844.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.