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Finding the Third Proportional to 92,769 and 198,655

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Solution

The third proportional to 92,769 and 198,655 is: 425,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,769 : 198,655 = 198,655 : x
  2. Step 2: Convert to fraction form
    92,769/198,655 = 198,655/x
  3. Step 3: Cross multiply
    92,769x = 198,655 × 198,655
  4. Step 4: Simplify right side
    92,769x = 39,463,809,025
  5. Step 5: Solve for x
    x = 39,463,809,025/92,769
  6. Step 6: Final answer
    x = 425,398.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.