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Finding the Third Proportional to 46,163.81 and 106,360.88

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Solution

The third proportional to 46,163.81 and 106,360.88 is: 245,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,163.81 : 106,360.88 = 106,360.88 : x
  2. Step 2: Convert to fraction form
    46,163.81/106,360.88 = 106,360.88/x
  3. Step 3: Cross multiply
    46,163.81x = 106,360.88 × 106,360.88
  4. Step 4: Simplify right side
    46,163.81x = 11,312,635,730.77
  5. Step 5: Solve for x
    x = 11,312,635,730.77/46,163.81
  6. Step 6: Final answer
    x = 245,054.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.