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Finding the Third Proportional to 94,896 and 204,492

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Solution

The third proportional to 94,896 and 204,492 is: 440,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,896 : 204,492 = 204,492 : x
  2. Step 2: Convert to fraction form
    94,896/204,492 = 204,492/x
  3. Step 3: Cross multiply
    94,896x = 204,492 × 204,492
  4. Step 4: Simplify right side
    94,896x = 41,816,978,064
  5. Step 5: Solve for x
    x = 41,816,978,064/94,896
  6. Step 6: Final answer
    x = 440,661.12

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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.