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Finding the Third Proportional to 189,118.88 and 409,757.25

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Solution

The third proportional to 189,118.88 and 409,757.25 is: 887,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,118.88 : 409,757.25 = 409,757.25 : x
  2. Step 2: Convert to fraction form
    189,118.88/409,757.25 = 409,757.25/x
  3. Step 3: Cross multiply
    189,118.88x = 409,757.25 × 409,757.25
  4. Step 4: Simplify right side
    189,118.88x = 167,901,003,927.56
  5. Step 5: Solve for x
    x = 167,901,003,927.56/189,118.88
  6. Step 6: Final answer
    x = 887,806.70

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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.