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Finding the Third Proportional to 88,112 and 195,844

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Solution

The third proportional to 88,112 and 195,844 is: 435,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,112 : 195,844 = 195,844 : x
  2. Step 2: Convert to fraction form
    88,112/195,844 = 195,844/x
  3. Step 3: Cross multiply
    88,112x = 195,844 × 195,844
  4. Step 4: Simplify right side
    88,112x = 38,354,872,336
  5. Step 5: Solve for x
    x = 38,354,872,336/88,112
  6. Step 6: Final answer
    x = 435,296.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.