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Finding the Third Proportional to 91,246.50 and 195,105

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Solution

The third proportional to 91,246.50 and 195,105 is: 417,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,246.50 : 195,105 = 195,105 : x
  2. Step 2: Convert to fraction form
    91,246.50/195,105 = 195,105/x
  3. Step 3: Cross multiply
    91,246.50x = 195,105 × 195,105
  4. Step 4: Simplify right side
    91,246.50x = 38,065,961,025
  5. Step 5: Solve for x
    x = 38,065,961,025/91,246.50
  6. Step 6: Final answer
    x = 417,177.22

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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.