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Finding the Third Proportional to 89,986 and 193,594

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Solution

The third proportional to 89,986 and 193,594 is: 416,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,986 : 193,594 = 193,594 : x
  2. Step 2: Convert to fraction form
    89,986/193,594 = 193,594/x
  3. Step 3: Cross multiply
    89,986x = 193,594 × 193,594
  4. Step 4: Simplify right side
    89,986x = 37,478,636,836
  5. Step 5: Solve for x
    x = 37,478,636,836/89,986
  6. Step 6: Final answer
    x = 416,494.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.