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Finding the Third Proportional to 89,486 and 192,985

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Solution

The third proportional to 89,486 and 192,985 is: 416,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,486 : 192,985 = 192,985 : x
  2. Step 2: Convert to fraction form
    89,486/192,985 = 192,985/x
  3. Step 3: Cross multiply
    89,486x = 192,985 × 192,985
  4. Step 4: Simplify right side
    89,486x = 37,243,210,225
  5. Step 5: Solve for x
    x = 37,243,210,225/89,486
  6. Step 6: Final answer
    x = 416,190.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.