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Finding the Third Proportional to 100,182 and 215,914

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Solution

The third proportional to 100,182 and 215,914 is: 465,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,182 : 215,914 = 215,914 : x
  2. Step 2: Convert to fraction form
    100,182/215,914 = 215,914/x
  3. Step 3: Cross multiply
    100,182x = 215,914 × 215,914
  4. Step 4: Simplify right side
    100,182x = 46,618,855,396
  5. Step 5: Solve for x
    x = 46,618,855,396/100,182
  6. Step 6: Final answer
    x = 465,341.63

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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.