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Finding the Third Proportional to 85,620.94 and 184,815.84

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Solution

The third proportional to 85,620.94 and 184,815.84 is: 398,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,620.94 : 184,815.84 = 184,815.84 : x
  2. Step 2: Convert to fraction form
    85,620.94/184,815.84 = 184,815.84/x
  3. Step 3: Cross multiply
    85,620.94x = 184,815.84 × 184,815.84
  4. Step 4: Simplify right side
    85,620.94x = 34,156,896,101.02
  5. Step 5: Solve for x
    x = 34,156,896,101.02/85,620.94
  6. Step 6: Final answer
    x = 398,931.58

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Why These Related Problems?

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