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Finding the Third Proportional to 101,203.13 and 222,089.25

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Solution

The third proportional to 101,203.13 and 222,089.25 is: 487,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,203.13 : 222,089.25 = 222,089.25 : x
  2. Step 2: Convert to fraction form
    101,203.13/222,089.25 = 222,089.25/x
  3. Step 3: Cross multiply
    101,203.13x = 222,089.25 × 222,089.25
  4. Step 4: Simplify right side
    101,203.13x = 49,323,634,965.56
  5. Step 5: Solve for x
    x = 49,323,634,965.56/101,203.13
  6. Step 6: Final answer
    x = 487,372.65

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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.