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Finding the Third Proportional to 46,969 and 97,817

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Solution

The third proportional to 46,969 and 97,817 is: 203,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969 : 97,817 = 97,817 : x
  2. Step 2: Convert to fraction form
    46,969/97,817 = 97,817/x
  3. Step 3: Cross multiply
    46,969x = 97,817 × 97,817
  4. Step 4: Simplify right side
    46,969x = 9,568,165,489
  5. Step 5: Solve for x
    x = 9,568,165,489/46,969
  6. Step 6: Final answer
    x = 203,712.35

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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.