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Finding the Third Proportional to 144,433.13 and 222,322.22

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Solution

The third proportional to 144,433.13 and 222,322.22 is: 342,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,433.13 : 222,322.22 = 222,322.22 : x
  2. Step 2: Convert to fraction form
    144,433.13/222,322.22 = 222,322.22/x
  3. Step 3: Cross multiply
    144,433.13x = 222,322.22 × 222,322.22
  4. Step 4: Simplify right side
    144,433.13x = 49,427,168,949.92
  5. Step 5: Solve for x
    x = 49,427,168,949.92/144,433.13
  6. Step 6: Final answer
    x = 342,214.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.