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Finding the Third Proportional to 90,213.75 and 195,007.50

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Solution

The third proportional to 90,213.75 and 195,007.50 is: 421,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,213.75 : 195,007.50 = 195,007.50 : x
  2. Step 2: Convert to fraction form
    90,213.75/195,007.50 = 195,007.50/x
  3. Step 3: Cross multiply
    90,213.75x = 195,007.50 × 195,007.50
  4. Step 4: Simplify right side
    90,213.75x = 38,027,925,056.25
  5. Step 5: Solve for x
    x = 38,027,925,056.25/90,213.75
  6. Step 6: Final answer
    x = 421,531.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.