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Finding the Third Proportional to 46,971 and 97,821

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Solution

The third proportional to 46,971 and 97,821 is: 203,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971 : 97,821 = 97,821 : x
  2. Step 2: Convert to fraction form
    46,971/97,821 = 97,821/x
  3. Step 3: Cross multiply
    46,971x = 97,821 × 97,821
  4. Step 4: Simplify right side
    46,971x = 9,568,948,041
  5. Step 5: Solve for x
    x = 9,568,948,041/46,971
  6. Step 6: Final answer
    x = 203,720.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.