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Finding the Third Proportional to 95,140 and 196,040

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Solution

The third proportional to 95,140 and 196,040 is: 403,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,140 : 196,040 = 196,040 : x
  2. Step 2: Convert to fraction form
    95,140/196,040 = 196,040/x
  3. Step 3: Cross multiply
    95,140x = 196,040 × 196,040
  4. Step 4: Simplify right side
    95,140x = 38,431,681,600
  5. Step 5: Solve for x
    x = 38,431,681,600/95,140
  6. Step 6: Final answer
    x = 403,948.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.