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Finding the Third Proportional to 89,366 and 184,926.75

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Solution

The third proportional to 89,366 and 184,926.75 is: 382,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,366 : 184,926.75 = 184,926.75 : x
  2. Step 2: Convert to fraction form
    89,366/184,926.75 = 184,926.75/x
  3. Step 3: Cross multiply
    89,366x = 184,926.75 × 184,926.75
  4. Step 4: Simplify right side
    89,366x = 34,197,902,865.56
  5. Step 5: Solve for x
    x = 34,197,902,865.56/89,366
  6. Step 6: Final answer
    x = 382,672.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.