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Finding the Third Proportional to 96,648.19 and 207,600.47

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Solution

The third proportional to 96,648.19 and 207,600.47 is: 445,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,648.19 : 207,600.47 = 207,600.47 : x
  2. Step 2: Convert to fraction form
    96,648.19/207,600.47 = 207,600.47/x
  3. Step 3: Cross multiply
    96,648.19x = 207,600.47 × 207,600.47
  4. Step 4: Simplify right side
    96,648.19x = 43,097,954,625.22
  5. Step 5: Solve for x
    x = 43,097,954,625.22/96,648.19
  6. Step 6: Final answer
    x = 445,926.15

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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.