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Finding the Third Proportional to 101,173.75 and 218,557.50

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Solution

The third proportional to 101,173.75 and 218,557.50 is: 472,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,173.75 : 218,557.50 = 218,557.50 : x
  2. Step 2: Convert to fraction form
    101,173.75/218,557.50 = 218,557.50/x
  3. Step 3: Cross multiply
    101,173.75x = 218,557.50 × 218,557.50
  4. Step 4: Simplify right side
    101,173.75x = 47,767,380,806.25
  5. Step 5: Solve for x
    x = 47,767,380,806.25/101,173.75
  6. Step 6: Final answer
    x = 472,132.16

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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.