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Finding the Third Proportional to 92,205 and 195,201

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Solution

The third proportional to 92,205 and 195,201 is: 413,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,205 : 195,201 = 195,201 : x
  2. Step 2: Convert to fraction form
    92,205/195,201 = 195,201/x
  3. Step 3: Cross multiply
    92,205x = 195,201 × 195,201
  4. Step 4: Simplify right side
    92,205x = 38,103,430,401
  5. Step 5: Solve for x
    x = 38,103,430,401/92,205
  6. Step 6: Final answer
    x = 413,246.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.