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Finding the Third Proportional to 106,190 and 228,120

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Solution

The third proportional to 106,190 and 228,120 is: 490,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,190 : 228,120 = 228,120 : x
  2. Step 2: Convert to fraction form
    106,190/228,120 = 228,120/x
  3. Step 3: Cross multiply
    106,190x = 228,120 × 228,120
  4. Step 4: Simplify right side
    106,190x = 52,038,734,400
  5. Step 5: Solve for x
    x = 52,038,734,400/106,190
  6. Step 6: Final answer
    x = 490,053.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.