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Finding the Third Proportional to 91,917 and 196,303.50

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Solution

The third proportional to 91,917 and 196,303.50 is: 419,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,917 : 196,303.50 = 196,303.50 : x
  2. Step 2: Convert to fraction form
    91,917/196,303.50 = 196,303.50/x
  3. Step 3: Cross multiply
    91,917x = 196,303.50 × 196,303.50
  4. Step 4: Simplify right side
    91,917x = 38,535,064,112.25
  5. Step 5: Solve for x
    x = 38,535,064,112.25/91,917
  6. Step 6: Final answer
    x = 419,237.62

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