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Finding the Third Proportional to 91,963.72 and 197,229.65

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Solution

The third proportional to 91,963.72 and 197,229.65 is: 422,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,963.72 : 197,229.65 = 197,229.65 : x
  2. Step 2: Convert to fraction form
    91,963.72/197,229.65 = 197,229.65/x
  3. Step 3: Cross multiply
    91,963.72x = 197,229.65 × 197,229.65
  4. Step 4: Simplify right side
    91,963.72x = 38,899,535,137.67
  5. Step 5: Solve for x
    x = 38,899,535,137.67/91,963.72
  6. Step 6: Final answer
    x = 422,987.82

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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.