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Finding the Third Proportional to 105,733.69 and 228,997.13

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Solution

The third proportional to 105,733.69 and 228,997.13 is: 495,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,733.69 : 228,997.13 = 228,997.13 : x
  2. Step 2: Convert to fraction form
    105,733.69/228,997.13 = 228,997.13/x
  3. Step 3: Cross multiply
    105,733.69x = 228,997.13 × 228,997.13
  4. Step 4: Simplify right side
    105,733.69x = 52,439,683,258.27
  5. Step 5: Solve for x
    x = 52,439,683,258.27/105,733.69
  6. Step 6: Final answer
    x = 495,960.03

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Why These Related Problems?

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