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Finding the Third Proportional to 96,948 and 208,104.75

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Solution

The third proportional to 96,948 and 208,104.75 is: 446,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,948 : 208,104.75 = 208,104.75 : x
  2. Step 2: Convert to fraction form
    96,948/208,104.75 = 208,104.75/x
  3. Step 3: Cross multiply
    96,948x = 208,104.75 × 208,104.75
  4. Step 4: Simplify right side
    96,948x = 43,307,586,972.56
  5. Step 5: Solve for x
    x = 43,307,586,972.56/96,948
  6. Step 6: Final answer
    x = 446,709.44

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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.