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Finding the Third Proportional to 46,782 and 100,188

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Solution

The third proportional to 46,782 and 100,188 is: 214,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,782 : 100,188 = 100,188 : x
  2. Step 2: Convert to fraction form
    46,782/100,188 = 100,188/x
  3. Step 3: Cross multiply
    46,782x = 100,188 × 100,188
  4. Step 4: Simplify right side
    46,782x = 10,037,635,344
  5. Step 5: Solve for x
    x = 10,037,635,344/46,782
  6. Step 6: Final answer
    x = 214,561.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.