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Finding the Third Proportional to 90,895.50 and 195,284.25

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Solution

The third proportional to 90,895.50 and 195,284.25 is: 419,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,895.50 : 195,284.25 = 195,284.25 : x
  2. Step 2: Convert to fraction form
    90,895.50/195,284.25 = 195,284.25/x
  3. Step 3: Cross multiply
    90,895.50x = 195,284.25 × 195,284.25
  4. Step 4: Simplify right side
    90,895.50x = 38,135,938,298.06
  5. Step 5: Solve for x
    x = 38,135,938,298.06/90,895.50
  6. Step 6: Final answer
    x = 419,558.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.