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Finding the Third Proportional to 96,795.42 and 207,603.42

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Solution

The third proportional to 96,795.42 and 207,603.42 is: 445,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,795.42 : 207,603.42 = 207,603.42 : x
  2. Step 2: Convert to fraction form
    96,795.42/207,603.42 = 207,603.42/x
  3. Step 3: Cross multiply
    96,795.42x = 207,603.42 × 207,603.42
  4. Step 4: Simplify right side
    96,795.42x = 43,099,180,774.21
  5. Step 5: Solve for x
    x = 43,099,180,774.21/96,795.42
  6. Step 6: Final answer
    x = 445,260.53

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