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Finding the Third Proportional to 100,740 and 217,217.63

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Solution

The third proportional to 100,740 and 217,217.63 is: 468,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,740 : 217,217.63 = 217,217.63 : x
  2. Step 2: Convert to fraction form
    100,740/217,217.63 = 217,217.63/x
  3. Step 3: Cross multiply
    100,740x = 217,217.63 × 217,217.63
  4. Step 4: Simplify right side
    100,740x = 47,183,496,610.64
  5. Step 5: Solve for x
    x = 47,183,496,610.64/100,740
  6. Step 6: Final answer
    x = 468,369.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.