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Finding the Third Proportional to 46,697 and 99,954

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Solution

The third proportional to 46,697 and 99,954 is: 213,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,697 : 99,954 = 99,954 : x
  2. Step 2: Convert to fraction form
    46,697/99,954 = 99,954/x
  3. Step 3: Cross multiply
    46,697x = 99,954 × 99,954
  4. Step 4: Simplify right side
    46,697x = 9,990,802,116
  5. Step 5: Solve for x
    x = 9,990,802,116/46,697
  6. Step 6: Final answer
    x = 213,949.55

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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.