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Finding the Third Proportional to 97,162 and 212,323

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Solution

The third proportional to 97,162 and 212,323 is: 463,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,162 : 212,323 = 212,323 : x
  2. Step 2: Convert to fraction form
    97,162/212,323 = 212,323/x
  3. Step 3: Cross multiply
    97,162x = 212,323 × 212,323
  4. Step 4: Simplify right side
    97,162x = 45,081,056,329
  5. Step 5: Solve for x
    x = 45,081,056,329/97,162
  6. Step 6: Final answer
    x = 463,978.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.