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Finding the Third Proportional to 106,116 and 228,836

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Solution

The third proportional to 106,116 and 228,836 is: 493,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116 : 228,836 = 228,836 : x
  2. Step 2: Convert to fraction form
    106,116/228,836 = 228,836/x
  3. Step 3: Cross multiply
    106,116x = 228,836 × 228,836
  4. Step 4: Simplify right side
    106,116x = 52,365,914,896
  5. Step 5: Solve for x
    x = 52,365,914,896/106,116
  6. Step 6: Final answer
    x = 493,478.03

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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.