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Finding the Third Proportional to 105,941.25 and 228,687.38

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Solution

The third proportional to 105,941.25 and 228,687.38 is: 493,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,941.25 : 228,687.38 = 228,687.38 : x
  2. Step 2: Convert to fraction form
    105,941.25/228,687.38 = 228,687.38/x
  3. Step 3: Cross multiply
    105,941.25x = 228,687.38 × 228,687.38
  4. Step 4: Simplify right side
    105,941.25x = 52,297,915,484.39
  5. Step 5: Solve for x
    x = 52,297,915,484.39/105,941.25
  6. Step 6: Final answer
    x = 493,650.16

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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.