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Finding the Third Proportional to 104,130.56 and 227,518.88

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Solution

The third proportional to 104,130.56 and 227,518.88 is: 497,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,130.56 : 227,518.88 = 227,518.88 : x
  2. Step 2: Convert to fraction form
    104,130.56/227,518.88 = 227,518.88/x
  3. Step 3: Cross multiply
    104,130.56x = 227,518.88 × 227,518.88
  4. Step 4: Simplify right side
    104,130.56x = 51,764,838,481.27
  5. Step 5: Solve for x
    x = 51,764,838,481.27/104,130.56
  6. Step 6: Final answer
    x = 497,114.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.