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Finding the Third Proportional to 110,111.91 and 211,475.81

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Solution

The third proportional to 110,111.91 and 211,475.81 is: 406,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,111.91 : 211,475.81 = 211,475.81 : x
  2. Step 2: Convert to fraction form
    110,111.91/211,475.81 = 211,475.81/x
  3. Step 3: Cross multiply
    110,111.91x = 211,475.81 × 211,475.81
  4. Step 4: Simplify right side
    110,111.91x = 44,722,019,272.54
  5. Step 5: Solve for x
    x = 44,722,019,272.54/110,111.91
  6. Step 6: Final answer
    x = 406,150.62

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.