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Finding the Third Proportional to 98,205 and 212,083

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Solution

The third proportional to 98,205 and 212,083 is: 458,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,205 : 212,083 = 212,083 : x
  2. Step 2: Convert to fraction form
    98,205/212,083 = 212,083/x
  3. Step 3: Cross multiply
    98,205x = 212,083 × 212,083
  4. Step 4: Simplify right side
    98,205x = 44,979,198,889
  5. Step 5: Solve for x
    x = 44,979,198,889/98,205
  6. Step 6: Final answer
    x = 458,013.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.