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Finding the Third Proportional to 97,968 and 212,232

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Solution

The third proportional to 97,968 and 212,232 is: 459,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,968 : 212,232 = 212,232 : x
  2. Step 2: Convert to fraction form
    97,968/212,232 = 212,232/x
  3. Step 3: Cross multiply
    97,968x = 212,232 × 212,232
  4. Step 4: Simplify right side
    97,968x = 45,042,421,824
  5. Step 5: Solve for x
    x = 45,042,421,824/97,968
  6. Step 6: Final answer
    x = 459,766.68

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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.