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Finding the Third Proportional to 46,746.75 and 102,839.25

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Solution

The third proportional to 46,746.75 and 102,839.25 is: 226,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746.75 : 102,839.25 = 102,839.25 : x
  2. Step 2: Convert to fraction form
    46,746.75/102,839.25 = 102,839.25/x
  3. Step 3: Cross multiply
    46,746.75x = 102,839.25 × 102,839.25
  4. Step 4: Simplify right side
    46,746.75x = 10,575,911,340.56
  5. Step 5: Solve for x
    x = 10,575,911,340.56/46,746.75
  6. Step 6: Final answer
    x = 226,238.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.