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Finding the Third Proportional to 46,170 and 100,427.34

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Solution

The third proportional to 46,170 and 100,427.34 is: 218,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170 : 100,427.34 = 100,427.34 : x
  2. Step 2: Convert to fraction form
    46,170/100,427.34 = 100,427.34/x
  3. Step 3: Cross multiply
    46,170x = 100,427.34 × 100,427.34
  4. Step 4: Simplify right side
    46,170x = 10,085,651,372.68
  5. Step 5: Solve for x
    x = 10,085,651,372.68/46,170
  6. Step 6: Final answer
    x = 218,445.99

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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.