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Finding the Third Proportional to 89,378 and 184,942.50

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Solution

The third proportional to 89,378 and 184,942.50 is: 382,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,378 : 184,942.50 = 184,942.50 : x
  2. Step 2: Convert to fraction form
    89,378/184,942.50 = 184,942.50/x
  3. Step 3: Cross multiply
    89,378x = 184,942.50 × 184,942.50
  4. Step 4: Simplify right side
    89,378x = 34,203,728,306.25
  5. Step 5: Solve for x
    x = 34,203,728,306.25/89,378
  6. Step 6: Final answer
    x = 382,686.21

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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.