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Finding the Third Proportional to 189,119.63 and 409,758.75

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Solution

The third proportional to 189,119.63 and 409,758.75 is: 887,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,119.63 : 409,758.75 = 409,758.75 : x
  2. Step 2: Convert to fraction form
    189,119.63/409,758.75 = 409,758.75/x
  3. Step 3: Cross multiply
    189,119.63x = 409,758.75 × 409,758.75
  4. Step 4: Simplify right side
    189,119.63x = 167,902,233,201.56
  5. Step 5: Solve for x
    x = 167,902,233,201.56/189,119.63
  6. Step 6: Final answer
    x = 887,809.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.