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Finding the Third Proportional to 101,194.31 and 222,071.63

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Solution

The third proportional to 101,194.31 and 222,071.63 is: 487,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,194.31 : 222,071.63 = 222,071.63 : x
  2. Step 2: Convert to fraction form
    101,194.31/222,071.63 = 222,071.63/x
  3. Step 3: Cross multiply
    101,194.31x = 222,071.63 × 222,071.63
  4. Step 4: Simplify right side
    101,194.31x = 49,315,806,630.14
  5. Step 5: Solve for x
    x = 49,315,806,630.14/101,194.31
  6. Step 6: Final answer
    x = 487,337.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.