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Finding the Third Proportional to 103,853.81 and 225,932.63

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Solution

The third proportional to 103,853.81 and 225,932.63 is: 491,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,853.81 : 225,932.63 = 225,932.63 : x
  2. Step 2: Convert to fraction form
    103,853.81/225,932.63 = 225,932.63/x
  3. Step 3: Cross multiply
    103,853.81x = 225,932.63 × 225,932.63
  4. Step 4: Simplify right side
    103,853.81x = 51,045,551,039.39
  5. Step 5: Solve for x
    x = 51,045,551,039.39/103,853.81
  6. Step 6: Final answer
    x = 491,513.50

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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.