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Finding the Third Proportional to 85,306.78 and 184,604.06

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Solution

The third proportional to 85,306.78 and 184,604.06 is: 399,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,306.78 : 184,604.06 = 184,604.06 : x
  2. Step 2: Convert to fraction form
    85,306.78/184,604.06 = 184,604.06/x
  3. Step 3: Cross multiply
    85,306.78x = 184,604.06 × 184,604.06
  4. Step 4: Simplify right side
    85,306.78x = 34,078,659,891.50
  5. Step 5: Solve for x
    x = 34,078,659,891.50/85,306.78
  6. Step 6: Final answer
    x = 399,483.60

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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.