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Finding the Third Proportional to 104,653.88 and 227,031.75

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Solution

The third proportional to 104,653.88 and 227,031.75 is: 492,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,653.88 : 227,031.75 = 227,031.75 : x
  2. Step 2: Convert to fraction form
    104,653.88/227,031.75 = 227,031.75/x
  3. Step 3: Cross multiply
    104,653.88x = 227,031.75 × 227,031.75
  4. Step 4: Simplify right side
    104,653.88x = 51,543,415,508.06
  5. Step 5: Solve for x
    x = 51,543,415,508.06/104,653.88
  6. Step 6: Final answer
    x = 492,513.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.