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Finding the Third Proportional to 94,995 and 208,950

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Solution

The third proportional to 94,995 and 208,950 is: 459,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,995 : 208,950 = 208,950 : x
  2. Step 2: Convert to fraction form
    94,995/208,950 = 208,950/x
  3. Step 3: Cross multiply
    94,995x = 208,950 × 208,950
  4. Step 4: Simplify right side
    94,995x = 43,660,102,500
  5. Step 5: Solve for x
    x = 43,660,102,500/94,995
  6. Step 6: Final answer
    x = 459,604.22

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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.