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Finding the Third Proportional to 85,221.38 and 185,994.75

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Solution

The third proportional to 85,221.38 and 185,994.75 is: 405,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,221.38 : 185,994.75 = 185,994.75 : x
  2. Step 2: Convert to fraction form
    85,221.38/185,994.75 = 185,994.75/x
  3. Step 3: Cross multiply
    85,221.38x = 185,994.75 × 185,994.75
  4. Step 4: Simplify right side
    85,221.38x = 34,594,047,027.56
  5. Step 5: Solve for x
    x = 34,594,047,027.56/85,221.38
  6. Step 6: Final answer
    x = 405,931.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.