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Finding the Third Proportional to 85,442.34 and 186,993.56

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Solution

The third proportional to 85,442.34 and 186,993.56 is: 409,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,442.34 : 186,993.56 = 186,993.56 : x
  2. Step 2: Convert to fraction form
    85,442.34/186,993.56 = 186,993.56/x
  3. Step 3: Cross multiply
    85,442.34x = 186,993.56 × 186,993.56
  4. Step 4: Simplify right side
    85,442.34x = 34,966,592,416.44
  5. Step 5: Solve for x
    x = 34,966,592,416.44/85,442.34
  6. Step 6: Final answer
    x = 409,241.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.