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Finding the Third Proportional to 101,172.94 and 218,556

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Solution

The third proportional to 101,172.94 and 218,556 is: 472,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,172.94 : 218,556 = 218,556 : x
  2. Step 2: Convert to fraction form
    101,172.94/218,556 = 218,556/x
  3. Step 3: Cross multiply
    101,172.94x = 218,556 × 218,556
  4. Step 4: Simplify right side
    101,172.94x = 47,766,725,136
  5. Step 5: Solve for x
    x = 47,766,725,136/101,172.94
  6. Step 6: Final answer
    x = 472,129.47

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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.