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Finding the Third Proportional to 92,122.31 and 195,315.94

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Solution

The third proportional to 92,122.31 and 195,315.94 is: 414,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,122.31 : 195,315.94 = 195,315.94 : x
  2. Step 2: Convert to fraction form
    92,122.31/195,315.94 = 195,315.94/x
  3. Step 3: Cross multiply
    92,122.31x = 195,315.94 × 195,315.94
  4. Step 4: Simplify right side
    92,122.31x = 38,148,315,441.50
  5. Step 5: Solve for x
    x = 38,148,315,441.50/92,122.31
  6. Step 6: Final answer
    x = 414,105.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.