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Finding the Third Proportional to 46,735.73 and 102,219.47

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Solution

The third proportional to 46,735.73 and 102,219.47 is: 223,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,735.73 : 102,219.47 = 102,219.47 : x
  2. Step 2: Convert to fraction form
    46,735.73/102,219.47 = 102,219.47/x
  3. Step 3: Cross multiply
    46,735.73x = 102,219.47 × 102,219.47
  4. Step 4: Simplify right side
    46,735.73x = 10,448,819,791.53
  5. Step 5: Solve for x
    x = 10,448,819,791.53/46,735.73
  6. Step 6: Final answer
    x = 223,572.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.