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Finding the Third Proportional to 91,132 and 200,196

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Solution

The third proportional to 91,132 and 200,196 is: 439,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,132 : 200,196 = 200,196 : x
  2. Step 2: Convert to fraction form
    91,132/200,196 = 200,196/x
  3. Step 3: Cross multiply
    91,132x = 200,196 × 200,196
  4. Step 4: Simplify right side
    91,132x = 40,078,438,416
  5. Step 5: Solve for x
    x = 40,078,438,416/91,132
  6. Step 6: Final answer
    x = 439,784.47

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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.