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Finding the Third Proportional to 91,098 and 192,098.25

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Solution

The third proportional to 91,098 and 192,098.25 is: 405,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,098 : 192,098.25 = 192,098.25 : x
  2. Step 2: Convert to fraction form
    91,098/192,098.25 = 192,098.25/x
  3. Step 3: Cross multiply
    91,098x = 192,098.25 × 192,098.25
  4. Step 4: Simplify right side
    91,098x = 36,901,737,653.06
  5. Step 5: Solve for x
    x = 36,901,737,653.06/91,098
  6. Step 6: Final answer
    x = 405,077.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.