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Finding the Third Proportional to 90,564 and 199,560

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Solution

The third proportional to 90,564 and 199,560 is: 439,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,564 : 199,560 = 199,560 : x
  2. Step 2: Convert to fraction form
    90,564/199,560 = 199,560/x
  3. Step 3: Cross multiply
    90,564x = 199,560 × 199,560
  4. Step 4: Simplify right side
    90,564x = 39,824,193,600
  5. Step 5: Solve for x
    x = 39,824,193,600/90,564
  6. Step 6: Final answer
    x = 439,735.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.