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Finding the Third Proportional to 109,356.25 and 227,437.63

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Solution

The third proportional to 109,356.25 and 227,437.63 is: 473,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356.25 : 227,437.63 = 227,437.63 : x
  2. Step 2: Convert to fraction form
    109,356.25/227,437.63 = 227,437.63/x
  3. Step 3: Cross multiply
    109,356.25x = 227,437.63 × 227,437.63
  4. Step 4: Simplify right side
    109,356.25x = 51,727,873,265.64
  5. Step 5: Solve for x
    x = 51,727,873,265.64/109,356.25
  6. Step 6: Final answer
    x = 473,021.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.