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Finding the Third Proportional to 103,385.11 and 227,159.44

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Solution

The third proportional to 103,385.11 and 227,159.44 is: 499,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,385.11 : 227,159.44 = 227,159.44 : x
  2. Step 2: Convert to fraction form
    103,385.11/227,159.44 = 227,159.44/x
  3. Step 3: Cross multiply
    103,385.11x = 227,159.44 × 227,159.44
  4. Step 4: Simplify right side
    103,385.11x = 51,601,410,045.32
  5. Step 5: Solve for x
    x = 51,601,410,045.32/103,385.11
  6. Step 6: Final answer
    x = 499,118.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.