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Finding the Third Proportional to 91,243.13 and 195,096.38

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Solution

The third proportional to 91,243.13 and 195,096.38 is: 417,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,243.13 : 195,096.38 = 195,096.38 : x
  2. Step 2: Convert to fraction form
    91,243.13/195,096.38 = 195,096.38/x
  3. Step 3: Cross multiply
    91,243.13x = 195,096.38 × 195,096.38
  4. Step 4: Simplify right side
    91,243.13x = 38,062,595,538.14
  5. Step 5: Solve for x
    x = 38,062,595,538.14/91,243.13
  6. Step 6: Final answer
    x = 417,155.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.