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Finding the Third Proportional to 91,230 and 200,442

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Solution

The third proportional to 91,230 and 200,442 is: 440,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,230 : 200,442 = 200,442 : x
  2. Step 2: Convert to fraction form
    91,230/200,442 = 200,442/x
  3. Step 3: Cross multiply
    91,230x = 200,442 × 200,442
  4. Step 4: Simplify right side
    91,230x = 40,176,995,364
  5. Step 5: Solve for x
    x = 40,176,995,364/91,230
  6. Step 6: Final answer
    x = 440,392.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.