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Finding the Third Proportional to 46,245.94 and 99,505.97

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Solution

The third proportional to 46,245.94 and 99,505.97 is: 214,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,245.94 : 99,505.97 = 99,505.97 : x
  2. Step 2: Convert to fraction form
    46,245.94/99,505.97 = 99,505.97/x
  3. Step 3: Cross multiply
    46,245.94x = 99,505.97 × 99,505.97
  4. Step 4: Simplify right side
    46,245.94x = 9,901,437,816.88
  5. Step 5: Solve for x
    x = 9,901,437,816.88/46,245.94
  6. Step 6: Final answer
    x = 214,103.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.