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Finding the Third Proportional to 94,046.06 and 205,228.69

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Solution

The third proportional to 94,046.06 and 205,228.69 is: 447,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,046.06 : 205,228.69 = 205,228.69 : x
  2. Step 2: Convert to fraction form
    94,046.06/205,228.69 = 205,228.69/x
  3. Step 3: Cross multiply
    94,046.06x = 205,228.69 × 205,228.69
  4. Step 4: Simplify right side
    94,046.06x = 42,118,814,172.97
  5. Step 5: Solve for x
    x = 42,118,814,172.97/94,046.06
  6. Step 6: Final answer
    x = 447,853.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.