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Finding the Third Proportional to 104,116 and 228,104

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Solution

The third proportional to 104,116 and 228,104 is: 499,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,116 : 228,104 = 228,104 : x
  2. Step 2: Convert to fraction form
    104,116/228,104 = 228,104/x
  3. Step 3: Cross multiply
    104,116x = 228,104 × 228,104
  4. Step 4: Simplify right side
    104,116x = 52,031,434,816
  5. Step 5: Solve for x
    x = 52,031,434,816/104,116
  6. Step 6: Final answer
    x = 499,744.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.