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Finding the Third Proportional to 105,164.25 and 228,072.38

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Solution

The third proportional to 105,164.25 and 228,072.38 is: 494,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,164.25 : 228,072.38 = 228,072.38 : x
  2. Step 2: Convert to fraction form
    105,164.25/228,072.38 = 228,072.38/x
  3. Step 3: Cross multiply
    105,164.25x = 228,072.38 × 228,072.38
  4. Step 4: Simplify right side
    105,164.25x = 52,017,008,238.14
  5. Step 5: Solve for x
    x = 52,017,008,238.14/105,164.25
  6. Step 6: Final answer
    x = 494,626.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.