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Finding the Third Proportional to 94,216.50 and 195,057

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Solution

The third proportional to 94,216.50 and 195,057 is: 403,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,216.50 : 195,057 = 195,057 : x
  2. Step 2: Convert to fraction form
    94,216.50/195,057 = 195,057/x
  3. Step 3: Cross multiply
    94,216.50x = 195,057 × 195,057
  4. Step 4: Simplify right side
    94,216.50x = 38,047,233,249
  5. Step 5: Solve for x
    x = 38,047,233,249/94,216.50
  6. Step 6: Final answer
    x = 403,827.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.