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Finding the Third Proportional to 85,998.38 and 182,403.56

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Solution

The third proportional to 85,998.38 and 182,403.56 is: 386,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,998.38 : 182,403.56 = 182,403.56 : x
  2. Step 2: Convert to fraction form
    85,998.38/182,403.56 = 182,403.56/x
  3. Step 3: Cross multiply
    85,998.38x = 182,403.56 × 182,403.56
  4. Step 4: Simplify right side
    85,998.38x = 33,271,059,612.69
  5. Step 5: Solve for x
    x = 33,271,059,612.69/85,998.38
  6. Step 6: Final answer
    x = 386,880.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.