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Finding the Third Proportional to 88,210 and 193,916

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Solution

The third proportional to 88,210 and 193,916 is: 426,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,210 : 193,916 = 193,916 : x
  2. Step 2: Convert to fraction form
    88,210/193,916 = 193,916/x
  3. Step 3: Cross multiply
    88,210x = 193,916 × 193,916
  4. Step 4: Simplify right side
    88,210x = 37,603,415,056
  5. Step 5: Solve for x
    x = 37,603,415,056/88,210
  6. Step 6: Final answer
    x = 426,294.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.