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Finding the Third Proportional to 97,560 and 199,728

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Solution

The third proportional to 97,560 and 199,728 is: 408,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,560 : 199,728 = 199,728 : x
  2. Step 2: Convert to fraction form
    97,560/199,728 = 199,728/x
  3. Step 3: Cross multiply
    97,560x = 199,728 × 199,728
  4. Step 4: Simplify right side
    97,560x = 39,891,273,984
  5. Step 5: Solve for x
    x = 39,891,273,984/97,560
  6. Step 6: Final answer
    x = 408,889.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.