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Finding the Third Proportional to 100,232.91 and 218,111.06

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Solution

The third proportional to 100,232.91 and 218,111.06 is: 474,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232.91 : 218,111.06 = 218,111.06 : x
  2. Step 2: Convert to fraction form
    100,232.91/218,111.06 = 218,111.06/x
  3. Step 3: Cross multiply
    100,232.91x = 218,111.06 × 218,111.06
  4. Step 4: Simplify right side
    100,232.91x = 47,572,435,584.88
  5. Step 5: Solve for x
    x = 47,572,435,584.88/100,232.91
  6. Step 6: Final answer
    x = 474,618.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.