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Finding the Third Proportional to 106,053.88 and 228,712.75

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Solution

The third proportional to 106,053.88 and 228,712.75 is: 493,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.88 : 228,712.75 = 228,712.75 : x
  2. Step 2: Convert to fraction form
    106,053.88/228,712.75 = 228,712.75/x
  3. Step 3: Cross multiply
    106,053.88x = 228,712.75 × 228,712.75
  4. Step 4: Simplify right side
    106,053.88x = 52,309,522,012.56
  5. Step 5: Solve for x
    x = 52,309,522,012.56/106,053.88
  6. Step 6: Final answer
    x = 493,235.37

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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.