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Finding the Third Proportional to 89,829 and 195,594.75

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Solution

The third proportional to 89,829 and 195,594.75 is: 425,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,829 : 195,594.75 = 195,594.75 : x
  2. Step 2: Convert to fraction form
    89,829/195,594.75 = 195,594.75/x
  3. Step 3: Cross multiply
    89,829x = 195,594.75 × 195,594.75
  4. Step 4: Simplify right side
    89,829x = 38,257,306,227.56
  5. Step 5: Solve for x
    x = 38,257,306,227.56/89,829
  6. Step 6: Final answer
    x = 425,890.37

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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.