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Finding the Third Proportional to 85,474.41 and 185,999.63

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Solution

The third proportional to 85,474.41 and 185,999.63 is: 404,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,474.41 : 185,999.63 = 185,999.63 : x
  2. Step 2: Convert to fraction form
    85,474.41/185,999.63 = 185,999.63/x
  3. Step 3: Cross multiply
    85,474.41x = 185,999.63 × 185,999.63
  4. Step 4: Simplify right side
    85,474.41x = 34,595,860,500.14
  5. Step 5: Solve for x
    x = 34,595,860,500.14/85,474.41
  6. Step 6: Final answer
    x = 404,751.11

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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.