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Finding the Third Proportional to 35,216.63 and 83,049.56

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Solution

The third proportional to 35,216.63 and 83,049.56 is: 195,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,216.63 : 83,049.56 = 83,049.56 : x
  2. Step 2: Convert to fraction form
    35,216.63/83,049.56 = 83,049.56/x
  3. Step 3: Cross multiply
    35,216.63x = 83,049.56 × 83,049.56
  4. Step 4: Simplify right side
    35,216.63x = 6,897,229,831.44
  5. Step 5: Solve for x
    x = 6,897,229,831.44/35,216.63
  6. Step 6: Final answer
    x = 195,851.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.