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Finding the Third Proportional to 46,291.50 and 110,838.38

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Solution

The third proportional to 46,291.50 and 110,838.38 is: 265,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,291.50 : 110,838.38 = 110,838.38 : x
  2. Step 2: Convert to fraction form
    46,291.50/110,838.38 = 110,838.38/x
  3. Step 3: Cross multiply
    46,291.50x = 110,838.38 × 110,838.38
  4. Step 4: Simplify right side
    46,291.50x = 12,285,145,372.64
  5. Step 5: Solve for x
    x = 12,285,145,372.64/46,291.50
  6. Step 6: Final answer
    x = 265,386.63

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.