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Finding the Third Proportional to 91,945.13 and 197,012.25

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Solution

The third proportional to 91,945.13 and 197,012.25 is: 422,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,945.13 : 197,012.25 = 197,012.25 : x
  2. Step 2: Convert to fraction form
    91,945.13/197,012.25 = 197,012.25/x
  3. Step 3: Cross multiply
    91,945.13x = 197,012.25 × 197,012.25
  4. Step 4: Simplify right side
    91,945.13x = 38,813,826,650.06
  5. Step 5: Solve for x
    x = 38,813,826,650.06/91,945.13
  6. Step 6: Final answer
    x = 422,141.21

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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.