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Finding the Third Proportional to 96,308 and 207,846

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Solution

The third proportional to 96,308 and 207,846 is: 448,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,308 : 207,846 = 207,846 : x
  2. Step 2: Convert to fraction form
    96,308/207,846 = 207,846/x
  3. Step 3: Cross multiply
    96,308x = 207,846 × 207,846
  4. Step 4: Simplify right side
    96,308x = 43,199,959,716
  5. Step 5: Solve for x
    x = 43,199,959,716/96,308
  6. Step 6: Final answer
    x = 448,560.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.