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Finding the Third Proportional to 43,774.17 and 93,015.84

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Solution

The third proportional to 43,774.17 and 93,015.84 is: 197,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,774.17 : 93,015.84 = 93,015.84 : x
  2. Step 2: Convert to fraction form
    43,774.17/93,015.84 = 93,015.84/x
  3. Step 3: Cross multiply
    43,774.17x = 93,015.84 × 93,015.84
  4. Step 4: Simplify right side
    43,774.17x = 8,651,947,188.52
  5. Step 5: Solve for x
    x = 8,651,947,188.52/43,774.17
  6. Step 6: Final answer
    x = 197,649.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.