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Finding the Third Proportional to 46,820 and 100,201

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Solution

The third proportional to 46,820 and 100,201 is: 214,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,820 : 100,201 = 100,201 : x
  2. Step 2: Convert to fraction form
    46,820/100,201 = 100,201/x
  3. Step 3: Cross multiply
    46,820x = 100,201 × 100,201
  4. Step 4: Simplify right side
    46,820x = 10,040,240,401
  5. Step 5: Solve for x
    x = 10,040,240,401/46,820
  6. Step 6: Final answer
    x = 214,443.41

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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.