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Finding the Third Proportional to 91,160 and 199,600

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Solution

The third proportional to 91,160 and 199,600 is: 437,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,160 : 199,600 = 199,600 : x
  2. Step 2: Convert to fraction form
    91,160/199,600 = 199,600/x
  3. Step 3: Cross multiply
    91,160x = 199,600 × 199,600
  4. Step 4: Simplify right side
    91,160x = 39,840,160,000
  5. Step 5: Solve for x
    x = 39,840,160,000/91,160
  6. Step 6: Final answer
    x = 437,035.54

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Why These Related Problems?

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