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Finding the Third Proportional to 86,634.56 and 174,556.90

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Solution

The third proportional to 86,634.56 and 174,556.90 is: 351,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,634.56 : 174,556.90 = 174,556.90 : x
  2. Step 2: Convert to fraction form
    86,634.56/174,556.90 = 174,556.90/x
  3. Step 3: Cross multiply
    86,634.56x = 174,556.90 × 174,556.90
  4. Step 4: Simplify right side
    86,634.56x = 30,470,110,792.12
  5. Step 5: Solve for x
    x = 30,470,110,792.12/86,634.56
  6. Step 6: Final answer
    x = 351,708.49

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.