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Finding the Third Proportional to 91,481 and 200,242

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Solution

The third proportional to 91,481 and 200,242 is: 438,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,481 : 200,242 = 200,242 : x
  2. Step 2: Convert to fraction form
    91,481/200,242 = 200,242/x
  3. Step 3: Cross multiply
    91,481x = 200,242 × 200,242
  4. Step 4: Simplify right side
    91,481x = 40,096,858,564
  5. Step 5: Solve for x
    x = 40,096,858,564/91,481
  6. Step 6: Final answer
    x = 438,308.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.