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Finding the Third Proportional to 46,961.44 and 104,052.94

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Solution

The third proportional to 46,961.44 and 104,052.94 is: 230,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961.44 : 104,052.94 = 104,052.94 : x
  2. Step 2: Convert to fraction form
    46,961.44/104,052.94 = 104,052.94/x
  3. Step 3: Cross multiply
    46,961.44x = 104,052.94 × 104,052.94
  4. Step 4: Simplify right side
    46,961.44x = 10,827,013,802.38
  5. Step 5: Solve for x
    x = 10,827,013,802.38/46,961.44
  6. Step 6: Final answer
    x = 230,551.16

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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.