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Finding the Third Proportional to 91,600 and 190,216

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Solution

The third proportional to 91,600 and 190,216 is: 395,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,600 : 190,216 = 190,216 : x
  2. Step 2: Convert to fraction form
    91,600/190,216 = 190,216/x
  3. Step 3: Cross multiply
    91,600x = 190,216 × 190,216
  4. Step 4: Simplify right side
    91,600x = 36,182,126,656
  5. Step 5: Solve for x
    x = 36,182,126,656/91,600
  6. Step 6: Final answer
    x = 395,001.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.