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Finding the Third Proportional to 97,016 and 212,064

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Solution

The third proportional to 97,016 and 212,064 is: 463,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,016 : 212,064 = 212,064 : x
  2. Step 2: Convert to fraction form
    97,016/212,064 = 212,064/x
  3. Step 3: Cross multiply
    97,016x = 212,064 × 212,064
  4. Step 4: Simplify right side
    97,016x = 44,971,140,096
  5. Step 5: Solve for x
    x = 44,971,140,096/97,016
  6. Step 6: Final answer
    x = 463,543.54

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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.