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Finding the Third Proportional to 97,356 and 199,320

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Solution

The third proportional to 97,356 and 199,320 is: 408,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,356 : 199,320 = 199,320 : x
  2. Step 2: Convert to fraction form
    97,356/199,320 = 199,320/x
  3. Step 3: Cross multiply
    97,356x = 199,320 × 199,320
  4. Step 4: Simplify right side
    97,356x = 39,728,462,400
  5. Step 5: Solve for x
    x = 39,728,462,400/97,356
  6. Step 6: Final answer
    x = 408,074.10

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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.