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Finding the Third Proportional to 91,929.94 and 197,933.63

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Solution

The third proportional to 91,929.94 and 197,933.63 is: 426,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,929.94 : 197,933.63 = 197,933.63 : x
  2. Step 2: Convert to fraction form
    91,929.94/197,933.63 = 197,933.63/x
  3. Step 3: Cross multiply
    91,929.94x = 197,933.63 × 197,933.63
  4. Step 4: Simplify right side
    91,929.94x = 39,177,719,905.64
  5. Step 5: Solve for x
    x = 39,177,719,905.64/91,929.94
  6. Step 6: Final answer
    x = 426,169.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.