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Finding the Third Proportional to 88,952.75 and 194,321.38

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Solution

The third proportional to 88,952.75 and 194,321.38 is: 424,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,952.75 : 194,321.38 = 194,321.38 : x
  2. Step 2: Convert to fraction form
    88,952.75/194,321.38 = 194,321.38/x
  3. Step 3: Cross multiply
    88,952.75x = 194,321.38 × 194,321.38
  4. Step 4: Simplify right side
    88,952.75x = 37,760,796,781.89
  5. Step 5: Solve for x
    x = 37,760,796,781.89/88,952.75
  6. Step 6: Final answer
    x = 424,503.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.