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Finding the Third Proportional to 131,083.31 and 196,556.63

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Solution

The third proportional to 131,083.31 and 196,556.63 is: 294,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,083.31 : 196,556.63 = 196,556.63 : x
  2. Step 2: Convert to fraction form
    131,083.31/196,556.63 = 196,556.63/x
  3. Step 3: Cross multiply
    131,083.31x = 196,556.63 × 196,556.63
  4. Step 4: Simplify right side
    131,083.31x = 38,634,506,831.39
  5. Step 5: Solve for x
    x = 38,634,506,831.39/131,083.31
  6. Step 6: Final answer
    x = 294,732.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.