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Finding the Third Proportional to 92,895 and 197,778

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Solution

The third proportional to 92,895 and 197,778 is: 421,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,895 : 197,778 = 197,778 : x
  2. Step 2: Convert to fraction form
    92,895/197,778 = 197,778/x
  3. Step 3: Cross multiply
    92,895x = 197,778 × 197,778
  4. Step 4: Simplify right side
    92,895x = 39,116,137,284
  5. Step 5: Solve for x
    x = 39,116,137,284/92,895
  6. Step 6: Final answer
    x = 421,079.04

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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.