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Finding the Third Proportional to 47,472.75 and 102,326.63

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Solution

The third proportional to 47,472.75 and 102,326.63 is: 220,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,472.75 : 102,326.63 = 102,326.63 : x
  2. Step 2: Convert to fraction form
    47,472.75/102,326.63 = 102,326.63/x
  3. Step 3: Cross multiply
    47,472.75x = 102,326.63 × 102,326.63
  4. Step 4: Simplify right side
    47,472.75x = 10,470,738,183.89
  5. Step 5: Solve for x
    x = 10,470,738,183.89/47,472.75
  6. Step 6: Final answer
    x = 220,563.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.