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Finding the Third Proportional to 46,809 and 100,206

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Solution

The third proportional to 46,809 and 100,206 is: 214,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,809 : 100,206 = 100,206 : x
  2. Step 2: Convert to fraction form
    46,809/100,206 = 100,206/x
  3. Step 3: Cross multiply
    46,809x = 100,206 × 100,206
  4. Step 4: Simplify right side
    46,809x = 10,041,242,436
  5. Step 5: Solve for x
    x = 10,041,242,436/46,809
  6. Step 6: Final answer
    x = 214,515.21

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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.