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Finding the Third Proportional to 122,441.63 and 189,203.63

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Solution

The third proportional to 122,441.63 and 189,203.63 is: 292,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,441.63 : 189,203.63 = 189,203.63 : x
  2. Step 2: Convert to fraction form
    122,441.63/189,203.63 = 189,203.63/x
  3. Step 3: Cross multiply
    122,441.63x = 189,203.63 × 189,203.63
  4. Step 4: Simplify right side
    122,441.63x = 35,798,011,713.14
  5. Step 5: Solve for x
    x = 35,798,011,713.14/122,441.63
  6. Step 6: Final answer
    x = 292,367.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.