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Finding the Third Proportional to 46,955.53 and 104,408.16

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Solution

The third proportional to 46,955.53 and 104,408.16 is: 232,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,955.53 : 104,408.16 = 104,408.16 : x
  2. Step 2: Convert to fraction form
    46,955.53/104,408.16 = 104,408.16/x
  3. Step 3: Cross multiply
    46,955.53x = 104,408.16 × 104,408.16
  4. Step 4: Simplify right side
    46,955.53x = 10,901,063,091.52
  5. Step 5: Solve for x
    x = 10,901,063,091.52/46,955.53
  6. Step 6: Final answer
    x = 232,157.17

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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.