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Finding the Third Proportional to 96,795.71 and 207,603.67

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Solution

The third proportional to 96,795.71 and 207,603.67 is: 445,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,795.71 : 207,603.67 = 207,603.67 : x
  2. Step 2: Convert to fraction form
    96,795.71/207,603.67 = 207,603.67/x
  3. Step 3: Cross multiply
    96,795.71x = 207,603.67 × 207,603.67
  4. Step 4: Simplify right side
    96,795.71x = 43,099,284,778.72
  5. Step 5: Solve for x
    x = 43,099,284,778.72/96,795.71
  6. Step 6: Final answer
    x = 445,260.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.