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Finding the Third Proportional to 96,626 and 207,536

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Solution

The third proportional to 96,626 and 207,536 is: 445,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,626 : 207,536 = 207,536 : x
  2. Step 2: Convert to fraction form
    96,626/207,536 = 207,536/x
  3. Step 3: Cross multiply
    96,626x = 207,536 × 207,536
  4. Step 4: Simplify right side
    96,626x = 43,071,191,296
  5. Step 5: Solve for x
    x = 43,071,191,296/96,626
  6. Step 6: Final answer
    x = 445,751.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.