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Finding the Third Proportional to 89,889 and 195,627

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Solution

The third proportional to 89,889 and 195,627 is: 425,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,889 : 195,627 = 195,627 : x
  2. Step 2: Convert to fraction form
    89,889/195,627 = 195,627/x
  3. Step 3: Cross multiply
    89,889x = 195,627 × 195,627
  4. Step 4: Simplify right side
    89,889x = 38,269,923,129
  5. Step 5: Solve for x
    x = 38,269,923,129/89,889
  6. Step 6: Final answer
    x = 425,746.46

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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.