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Finding the Third Proportional to 43,178 and 96,397

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Solution

The third proportional to 43,178 and 96,397 is: 215,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,178 : 96,397 = 96,397 : x
  2. Step 2: Convert to fraction form
    43,178/96,397 = 96,397/x
  3. Step 3: Cross multiply
    43,178x = 96,397 × 96,397
  4. Step 4: Simplify right side
    43,178x = 9,292,381,609
  5. Step 5: Solve for x
    x = 9,292,381,609/43,178
  6. Step 6: Final answer
    x = 215,211.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.