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Finding the Third Proportional to 132,994.13 and 203,468.06

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Solution

The third proportional to 132,994.13 and 203,468.06 is: 311,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,994.13 : 203,468.06 = 203,468.06 : x
  2. Step 2: Convert to fraction form
    132,994.13/203,468.06 = 203,468.06/x
  3. Step 3: Cross multiply
    132,994.13x = 203,468.06 × 203,468.06
  4. Step 4: Simplify right side
    132,994.13x = 41,399,252,457.50
  5. Step 5: Solve for x
    x = 41,399,252,457.50/132,994.13
  6. Step 6: Final answer
    x = 311,286.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.