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Finding the Third Proportional to 98,223 and 212,097

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Solution

The third proportional to 98,223 and 212,097 is: 457,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,223 : 212,097 = 212,097 : x
  2. Step 2: Convert to fraction form
    98,223/212,097 = 212,097/x
  3. Step 3: Cross multiply
    98,223x = 212,097 × 212,097
  4. Step 4: Simplify right side
    98,223x = 44,985,137,409
  5. Step 5: Solve for x
    x = 44,985,137,409/98,223
  6. Step 6: Final answer
    x = 457,989.85

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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.