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Finding the Third Proportional to 91,004 and 195,184

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Solution

The third proportional to 91,004 and 195,184 is: 418,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,004 : 195,184 = 195,184 : x
  2. Step 2: Convert to fraction form
    91,004/195,184 = 195,184/x
  3. Step 3: Cross multiply
    91,004x = 195,184 × 195,184
  4. Step 4: Simplify right side
    91,004x = 38,096,793,856
  5. Step 5: Solve for x
    x = 38,096,793,856/91,004
  6. Step 6: Final answer
    x = 418,627.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.