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Finding the Third Proportional to 105,190 and 228,214

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Solution

The third proportional to 105,190 and 228,214 is: 495,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,190 : 228,214 = 228,214 : x
  2. Step 2: Convert to fraction form
    105,190/228,214 = 228,214/x
  3. Step 3: Cross multiply
    105,190x = 228,214 × 228,214
  4. Step 4: Simplify right side
    105,190x = 52,081,629,796
  5. Step 5: Solve for x
    x = 52,081,629,796/105,190
  6. Step 6: Final answer
    x = 495,119.59

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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.