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Finding the Third Proportional to 45,546.47 and 100,060.31

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Solution

The third proportional to 45,546.47 and 100,060.31 is: 219,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,546.47 : 100,060.31 = 100,060.31 : x
  2. Step 2: Convert to fraction form
    45,546.47/100,060.31 = 100,060.31/x
  3. Step 3: Cross multiply
    45,546.47x = 100,060.31 × 100,060.31
  4. Step 4: Simplify right side
    45,546.47x = 10,012,066,137.60
  5. Step 5: Solve for x
    x = 10,012,066,137.60/45,546.47
  6. Step 6: Final answer
    x = 219,820.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.