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Finding the Third Proportional to 85,445.35 and 184,038.33

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Solution

The third proportional to 85,445.35 and 184,038.33 is: 396,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,445.35 : 184,038.33 = 184,038.33 : x
  2. Step 2: Convert to fraction form
    85,445.35/184,038.33 = 184,038.33/x
  3. Step 3: Cross multiply
    85,445.35x = 184,038.33 × 184,038.33
  4. Step 4: Simplify right side
    85,445.35x = 33,870,106,219.05
  5. Step 5: Solve for x
    x = 33,870,106,219.05/85,445.35
  6. Step 6: Final answer
    x = 396,394.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.