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Finding the Third Proportional to 102,349.31 and 222,181.13

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Solution

The third proportional to 102,349.31 and 222,181.13 is: 482,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,349.31 : 222,181.13 = 222,181.13 : x
  2. Step 2: Convert to fraction form
    102,349.31/222,181.13 = 222,181.13/x
  3. Step 3: Cross multiply
    102,349.31x = 222,181.13 × 222,181.13
  4. Step 4: Simplify right side
    102,349.31x = 49,364,452,306.27
  5. Step 5: Solve for x
    x = 49,364,452,306.27/102,349.31
  6. Step 6: Final answer
    x = 482,313.47

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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.