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Finding the Third Proportional to 46,944.75 and 104,384.25

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Solution

The third proportional to 46,944.75 and 104,384.25 is: 232,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,944.75 : 104,384.25 = 104,384.25 : x
  2. Step 2: Convert to fraction form
    46,944.75/104,384.25 = 104,384.25/x
  3. Step 3: Cross multiply
    46,944.75x = 104,384.25 × 104,384.25
  4. Step 4: Simplify right side
    46,944.75x = 10,896,071,648.06
  5. Step 5: Solve for x
    x = 10,896,071,648.06/46,944.75
  6. Step 6: Final answer
    x = 232,104.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.