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Finding the Third Proportional to 94,001 and 195,748.50

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Solution

The third proportional to 94,001 and 195,748.50 is: 407,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,001 : 195,748.50 = 195,748.50 : x
  2. Step 2: Convert to fraction form
    94,001/195,748.50 = 195,748.50/x
  3. Step 3: Cross multiply
    94,001x = 195,748.50 × 195,748.50
  4. Step 4: Simplify right side
    94,001x = 38,317,475,252.25
  5. Step 5: Solve for x
    x = 38,317,475,252.25/94,001
  6. Step 6: Final answer
    x = 407,628.38

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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.