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Finding the Third Proportional to 97,224 and 212,016

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Solution

The third proportional to 97,224 and 212,016 is: 462,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,224 : 212,016 = 212,016 : x
  2. Step 2: Convert to fraction form
    97,224/212,016 = 212,016/x
  3. Step 3: Cross multiply
    97,224x = 212,016 × 212,016
  4. Step 4: Simplify right side
    97,224x = 44,950,784,256
  5. Step 5: Solve for x
    x = 44,950,784,256/97,224
  6. Step 6: Final answer
    x = 462,342.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.