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Finding the Third Proportional to 45,208 and 98,201

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Solution

The third proportional to 45,208 and 98,201 is: 213,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208 : 98,201 = 98,201 : x
  2. Step 2: Convert to fraction form
    45,208/98,201 = 98,201/x
  3. Step 3: Cross multiply
    45,208x = 98,201 × 98,201
  4. Step 4: Simplify right side
    45,208x = 9,643,436,401
  5. Step 5: Solve for x
    x = 9,643,436,401/45,208
  6. Step 6: Final answer
    x = 213,312.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.