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Finding the Third Proportional to 88,797.75 and 190,231.50

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Solution

The third proportional to 88,797.75 and 190,231.50 is: 407,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,797.75 : 190,231.50 = 190,231.50 : x
  2. Step 2: Convert to fraction form
    88,797.75/190,231.50 = 190,231.50/x
  3. Step 3: Cross multiply
    88,797.75x = 190,231.50 × 190,231.50
  4. Step 4: Simplify right side
    88,797.75x = 36,188,023,592.25
  5. Step 5: Solve for x
    x = 36,188,023,592.25/88,797.75
  6. Step 6: Final answer
    x = 407,533.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.