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Finding the Third Proportional to 92,119.78 and 195,309.98

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Solution

The third proportional to 92,119.78 and 195,309.98 is: 414,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119.78 : 195,309.98 = 195,309.98 : x
  2. Step 2: Convert to fraction form
    92,119.78/195,309.98 = 195,309.98/x
  3. Step 3: Cross multiply
    92,119.78x = 195,309.98 × 195,309.98
  4. Step 4: Simplify right side
    92,119.78x = 38,145,989,996.56
  5. Step 5: Solve for x
    x = 38,145,989,996.56/92,119.78
  6. Step 6: Final answer
    x = 414,091.19

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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.