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Finding the Third Proportional to 47,600.16 and 102,706.31

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Solution

The third proportional to 47,600.16 and 102,706.31 is: 221,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,600.16 : 102,706.31 = 102,706.31 : x
  2. Step 2: Convert to fraction form
    47,600.16/102,706.31 = 102,706.31/x
  3. Step 3: Cross multiply
    47,600.16x = 102,706.31 × 102,706.31
  4. Step 4: Simplify right side
    47,600.16x = 10,548,586,627.35
  5. Step 5: Solve for x
    x = 10,548,586,627.35/47,600.16
  6. Step 6: Final answer
    x = 221,608.24

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