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Finding the Third Proportional to 94,470.75 and 199,605.75

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Solution

The third proportional to 94,470.75 and 199,605.75 is: 421,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,470.75 : 199,605.75 = 199,605.75 : x
  2. Step 2: Convert to fraction form
    94,470.75/199,605.75 = 199,605.75/x
  3. Step 3: Cross multiply
    94,470.75x = 199,605.75 × 199,605.75
  4. Step 4: Simplify right side
    94,470.75x = 39,842,455,433.06
  5. Step 5: Solve for x
    x = 39,842,455,433.06/94,470.75
  6. Step 6: Final answer
    x = 421,743.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.