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Finding the Third Proportional to 94,923.50 and 208,795

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Solution

The third proportional to 94,923.50 and 208,795 is: 459,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,923.50 : 208,795 = 208,795 : x
  2. Step 2: Convert to fraction form
    94,923.50/208,795 = 208,795/x
  3. Step 3: Cross multiply
    94,923.50x = 208,795 × 208,795
  4. Step 4: Simplify right side
    94,923.50x = 43,595,352,025
  5. Step 5: Solve for x
    x = 43,595,352,025/94,923.50
  6. Step 6: Final answer
    x = 459,268.27

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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.