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Finding the Third Proportional to 91,773 and 193,914

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Solution

The third proportional to 91,773 and 193,914 is: 409,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,773 : 193,914 = 193,914 : x
  2. Step 2: Convert to fraction form
    91,773/193,914 = 193,914/x
  3. Step 3: Cross multiply
    91,773x = 193,914 × 193,914
  4. Step 4: Simplify right side
    91,773x = 37,602,639,396
  5. Step 5: Solve for x
    x = 37,602,639,396/91,773
  6. Step 6: Final answer
    x = 409,735.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.