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Finding the Third Proportional to 98,006 and 212,608

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Solution

The third proportional to 98,006 and 212,608 is: 461,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,006 : 212,608 = 212,608 : x
  2. Step 2: Convert to fraction form
    98,006/212,608 = 212,608/x
  3. Step 3: Cross multiply
    98,006x = 212,608 × 212,608
  4. Step 4: Simplify right side
    98,006x = 45,202,161,664
  5. Step 5: Solve for x
    x = 45,202,161,664/98,006
  6. Step 6: Final answer
    x = 461,218.31

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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.