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Finding the Third Proportional to 101,184.19 and 222,734.81

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Solution

The third proportional to 101,184.19 and 222,734.81 is: 490,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,184.19 : 222,734.81 = 222,734.81 : x
  2. Step 2: Convert to fraction form
    101,184.19/222,734.81 = 222,734.81/x
  3. Step 3: Cross multiply
    101,184.19x = 222,734.81 × 222,734.81
  4. Step 4: Simplify right side
    101,184.19x = 49,610,796,699.41
  5. Step 5: Solve for x
    x = 49,610,796,699.41/101,184.19
  6. Step 6: Final answer
    x = 490,301.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.