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Finding the Third Proportional to 94,927 and 208,802

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Solution

The third proportional to 94,927 and 208,802 is: 459,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,927 : 208,802 = 208,802 : x
  2. Step 2: Convert to fraction form
    94,927/208,802 = 208,802/x
  3. Step 3: Cross multiply
    94,927x = 208,802 × 208,802
  4. Step 4: Simplify right side
    94,927x = 43,598,275,204
  5. Step 5: Solve for x
    x = 43,598,275,204/94,927
  6. Step 6: Final answer
    x = 459,282.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.