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Finding the Third Proportional to 85,622.63 and 184,819.50

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Solution

The third proportional to 85,622.63 and 184,819.50 is: 398,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,622.63 : 184,819.50 = 184,819.50 : x
  2. Step 2: Convert to fraction form
    85,622.63/184,819.50 = 184,819.50/x
  3. Step 3: Cross multiply
    85,622.63x = 184,819.50 × 184,819.50
  4. Step 4: Simplify right side
    85,622.63x = 34,158,247,580.25
  5. Step 5: Solve for x
    x = 34,158,247,580.25/85,622.63
  6. Step 6: Final answer
    x = 398,939.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.