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Finding the Third Proportional to 105,991.75 and 228,601

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Solution

The third proportional to 105,991.75 and 228,601 is: 493,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,991.75 : 228,601 = 228,601 : x
  2. Step 2: Convert to fraction form
    105,991.75/228,601 = 228,601/x
  3. Step 3: Cross multiply
    105,991.75x = 228,601 × 228,601
  4. Step 4: Simplify right side
    105,991.75x = 52,258,417,201
  5. Step 5: Solve for x
    x = 52,258,417,201/105,991.75
  6. Step 6: Final answer
    x = 493,042.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.