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Finding the Third Proportional to 92,896 and 197,780

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Solution

The third proportional to 92,896 and 197,780 is: 421,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,896 : 197,780 = 197,780 : x
  2. Step 2: Convert to fraction form
    92,896/197,780 = 197,780/x
  3. Step 3: Cross multiply
    92,896x = 197,780 × 197,780
  4. Step 4: Simplify right side
    92,896x = 39,116,928,400
  5. Step 5: Solve for x
    x = 39,116,928,400/92,896
  6. Step 6: Final answer
    x = 421,083.02

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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.