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Finding the Third Proportional to 85,134.66 and 185,233.50

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Solution

The third proportional to 85,134.66 and 185,233.50 is: 403,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,134.66 : 185,233.50 = 185,233.50 : x
  2. Step 2: Convert to fraction form
    85,134.66/185,233.50 = 185,233.50/x
  3. Step 3: Cross multiply
    85,134.66x = 185,233.50 × 185,233.50
  4. Step 4: Simplify right side
    85,134.66x = 34,311,449,522.25
  5. Step 5: Solve for x
    x = 34,311,449,522.25/85,134.66
  6. Step 6: Final answer
    x = 403,025.64

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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.