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Finding the Third Proportional to 97,422 and 210,016

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Solution

The third proportional to 97,422 and 210,016 is: 452,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,422 : 210,016 = 210,016 : x
  2. Step 2: Convert to fraction form
    97,422/210,016 = 210,016/x
  3. Step 3: Cross multiply
    97,422x = 210,016 × 210,016
  4. Step 4: Simplify right side
    97,422x = 44,106,720,256
  5. Step 5: Solve for x
    x = 44,106,720,256/97,422
  6. Step 6: Final answer
    x = 452,738.81

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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.