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Finding the Third Proportional to 131,998.36 and 189,000.84

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Solution

The third proportional to 131,998.36 and 189,000.84 is: 270,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,998.36 : 189,000.84 = 189,000.84 : x
  2. Step 2: Convert to fraction form
    131,998.36/189,000.84 = 189,000.84/x
  3. Step 3: Cross multiply
    131,998.36x = 189,000.84 × 189,000.84
  4. Step 4: Simplify right side
    131,998.36x = 35,721,318,938.21
  5. Step 5: Solve for x
    x = 35,721,318,938.21/131,998.36
  6. Step 6: Final answer
    x = 270,619.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.