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Finding the Third Proportional to 135,799.03 and 211,463.16

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Solution

The third proportional to 135,799.03 and 211,463.16 is: 329,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,799.03 : 211,463.16 = 211,463.16 : x
  2. Step 2: Convert to fraction form
    135,799.03/211,463.16 = 211,463.16/x
  3. Step 3: Cross multiply
    135,799.03x = 211,463.16 × 211,463.16
  4. Step 4: Simplify right side
    135,799.03x = 44,716,666,451.21
  5. Step 5: Solve for x
    x = 44,716,666,451.21/135,799.03
  6. Step 6: Final answer
    x = 329,285.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.