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Finding the Third Proportional to 89,826.75 and 195,603.75

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Solution

The third proportional to 89,826.75 and 195,603.75 is: 425,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,826.75 : 195,603.75 = 195,603.75 : x
  2. Step 2: Convert to fraction form
    89,826.75/195,603.75 = 195,603.75/x
  3. Step 3: Cross multiply
    89,826.75x = 195,603.75 × 195,603.75
  4. Step 4: Simplify right side
    89,826.75x = 38,260,827,014.06
  5. Step 5: Solve for x
    x = 38,260,827,014.06/89,826.75
  6. Step 6: Final answer
    x = 425,940.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.