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Finding the Third Proportional to 84,019.13 and 184,602.75

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Solution

The third proportional to 84,019.13 and 184,602.75 is: 405,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,019.13 : 184,602.75 = 184,602.75 : x
  2. Step 2: Convert to fraction form
    84,019.13/184,602.75 = 184,602.75/x
  3. Step 3: Cross multiply
    84,019.13x = 184,602.75 × 184,602.75
  4. Step 4: Simplify right side
    84,019.13x = 34,078,175,307.56
  5. Step 5: Solve for x
    x = 34,078,175,307.56/84,019.13
  6. Step 6: Final answer
    x = 405,600.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.