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Finding the Third Proportional to 84,466.13 and 184,600.69

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Solution

The third proportional to 84,466.13 and 184,600.69 is: 403,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,466.13 : 184,600.69 = 184,600.69 : x
  2. Step 2: Convert to fraction form
    84,466.13/184,600.69 = 184,600.69/x
  3. Step 3: Cross multiply
    84,466.13x = 184,600.69 × 184,600.69
  4. Step 4: Simplify right side
    84,466.13x = 34,077,413,825.47
  5. Step 5: Solve for x
    x = 34,077,413,825.47/84,466.13
  6. Step 6: Final answer
    x = 403,444.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.