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Finding the Third Proportional to 98,013 and 212,622

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Solution

The third proportional to 98,013 and 212,622 is: 461,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,013 : 212,622 = 212,622 : x
  2. Step 2: Convert to fraction form
    98,013/212,622 = 212,622/x
  3. Step 3: Cross multiply
    98,013x = 212,622 × 212,622
  4. Step 4: Simplify right side
    98,013x = 45,208,114,884
  5. Step 5: Solve for x
    x = 45,208,114,884/98,013
  6. Step 6: Final answer
    x = 461,246.11

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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.