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Finding the Third Proportional to 92,835 and 198,197

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Solution

The third proportional to 92,835 and 198,197 is: 423,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,835 : 198,197 = 198,197 : x
  2. Step 2: Convert to fraction form
    92,835/198,197 = 198,197/x
  3. Step 3: Cross multiply
    92,835x = 198,197 × 198,197
  4. Step 4: Simplify right side
    92,835x = 39,282,050,809
  5. Step 5: Solve for x
    x = 39,282,050,809/92,835
  6. Step 6: Final answer
    x = 423,138.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.