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Finding the Third Proportional to 106,106 and 228,816

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Solution

The third proportional to 106,106 and 228,816 is: 493,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,106 : 228,816 = 228,816 : x
  2. Step 2: Convert to fraction form
    106,106/228,816 = 228,816/x
  3. Step 3: Cross multiply
    106,106x = 228,816 × 228,816
  4. Step 4: Simplify right side
    106,106x = 52,356,761,856
  5. Step 5: Solve for x
    x = 52,356,761,856/106,106
  6. Step 6: Final answer
    x = 493,438.28

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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.