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Finding the Third Proportional to 96,656 and 204,928

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Solution

The third proportional to 96,656 and 204,928 is: 434,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,656 : 204,928 = 204,928 : x
  2. Step 2: Convert to fraction form
    96,656/204,928 = 204,928/x
  3. Step 3: Cross multiply
    96,656x = 204,928 × 204,928
  4. Step 4: Simplify right side
    96,656x = 41,995,485,184
  5. Step 5: Solve for x
    x = 41,995,485,184/96,656
  6. Step 6: Final answer
    x = 434,484.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.