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Finding the Third Proportional to 46,197 and 100,683

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Solution

The third proportional to 46,197 and 100,683 is: 219,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,197 : 100,683 = 100,683 : x
  2. Step 2: Convert to fraction form
    46,197/100,683 = 100,683/x
  3. Step 3: Cross multiply
    46,197x = 100,683 × 100,683
  4. Step 4: Simplify right side
    46,197x = 10,137,066,489
  5. Step 5: Solve for x
    x = 10,137,066,489/46,197
  6. Step 6: Final answer
    x = 219,431.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.