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Finding the Third Proportional to 100,575.42 and 219,835.27

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Solution

The third proportional to 100,575.42 and 219,835.27 is: 480,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,575.42 : 219,835.27 = 219,835.27 : x
  2. Step 2: Convert to fraction form
    100,575.42/219,835.27 = 219,835.27/x
  3. Step 3: Cross multiply
    100,575.42x = 219,835.27 × 219,835.27
  4. Step 4: Simplify right side
    100,575.42x = 48,327,544,012.41
  5. Step 5: Solve for x
    x = 48,327,544,012.41/100,575.42
  6. Step 6: Final answer
    x = 480,510.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.