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Finding the Third Proportional to 94,674.75 and 204,111

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Solution

The third proportional to 94,674.75 and 204,111 is: 440,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,674.75 : 204,111 = 204,111 : x
  2. Step 2: Convert to fraction form
    94,674.75/204,111 = 204,111/x
  3. Step 3: Cross multiply
    94,674.75x = 204,111 × 204,111
  4. Step 4: Simplify right side
    94,674.75x = 41,661,300,321
  5. Step 5: Solve for x
    x = 41,661,300,321/94,674.75
  6. Step 6: Final answer
    x = 440,046.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.