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Finding the Third Proportional to 43,470 and 95,244

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Solution

The third proportional to 43,470 and 95,244 is: 208,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,470 : 95,244 = 95,244 : x
  2. Step 2: Convert to fraction form
    43,470/95,244 = 95,244/x
  3. Step 3: Cross multiply
    43,470x = 95,244 × 95,244
  4. Step 4: Simplify right side
    43,470x = 9,071,419,536
  5. Step 5: Solve for x
    x = 9,071,419,536/43,470
  6. Step 6: Final answer
    x = 208,682.30

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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.