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Finding the Third Proportional to 46,206 and 100,701

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Solution

The third proportional to 46,206 and 100,701 is: 219,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206 : 100,701 = 100,701 : x
  2. Step 2: Convert to fraction form
    46,206/100,701 = 100,701/x
  3. Step 3: Cross multiply
    46,206x = 100,701 × 100,701
  4. Step 4: Simplify right side
    46,206x = 10,140,691,401
  5. Step 5: Solve for x
    x = 10,140,691,401/46,206
  6. Step 6: Final answer
    x = 219,466.98

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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.