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Finding the Third Proportional to 89,887.50 and 195,464.25

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Solution

The third proportional to 89,887.50 and 195,464.25 is: 425,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,887.50 : 195,464.25 = 195,464.25 : x
  2. Step 2: Convert to fraction form
    89,887.50/195,464.25 = 195,464.25/x
  3. Step 3: Cross multiply
    89,887.50x = 195,464.25 × 195,464.25
  4. Step 4: Simplify right side
    89,887.50x = 38,206,273,028.06
  5. Step 5: Solve for x
    x = 38,206,273,028.06/89,887.50
  6. Step 6: Final answer
    x = 425,045.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.