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Finding the Third Proportional to 97,284 and 199,395

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Solution

The third proportional to 97,284 and 199,395 is: 408,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,284 : 199,395 = 199,395 : x
  2. Step 2: Convert to fraction form
    97,284/199,395 = 199,395/x
  3. Step 3: Cross multiply
    97,284x = 199,395 × 199,395
  4. Step 4: Simplify right side
    97,284x = 39,758,366,025
  5. Step 5: Solve for x
    x = 39,758,366,025/97,284
  6. Step 6: Final answer
    x = 408,683.50

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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.