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Finding the Third Proportional to 84,889.88 and 184,522.13

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Solution

The third proportional to 84,889.88 and 184,522.13 is: 401,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,889.88 : 184,522.13 = 184,522.13 : x
  2. Step 2: Convert to fraction form
    84,889.88/184,522.13 = 184,522.13/x
  3. Step 3: Cross multiply
    84,889.88x = 184,522.13 × 184,522.13
  4. Step 4: Simplify right side
    84,889.88x = 34,048,414,614.52
  5. Step 5: Solve for x
    x = 34,048,414,614.52/84,889.88
  6. Step 6: Final answer
    x = 401,089.23

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Why These Related Problems?

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