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Finding the Third Proportional to 96,094 and 221,186.50

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Solution

The third proportional to 96,094 and 221,186.50 is: 509,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,094 : 221,186.50 = 221,186.50 : x
  2. Step 2: Convert to fraction form
    96,094/221,186.50 = 221,186.50/x
  3. Step 3: Cross multiply
    96,094x = 221,186.50 × 221,186.50
  4. Step 4: Simplify right side
    96,094x = 48,923,467,782.25
  5. Step 5: Solve for x
    x = 48,923,467,782.25/96,094
  6. Step 6: Final answer
    x = 509,120.94

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.