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Finding the Third Proportional to 100,571.50 and 217,094.50

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Solution

The third proportional to 100,571.50 and 217,094.50 is: 468,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,571.50 : 217,094.50 = 217,094.50 : x
  2. Step 2: Convert to fraction form
    100,571.50/217,094.50 = 217,094.50/x
  3. Step 3: Cross multiply
    100,571.50x = 217,094.50 × 217,094.50
  4. Step 4: Simplify right side
    100,571.50x = 47,130,021,930.25
  5. Step 5: Solve for x
    x = 47,130,021,930.25/100,571.50
  6. Step 6: Final answer
    x = 468,622.04

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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.