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Finding the Third Proportional to 46,299.94 and 69,145.31

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Solution

The third proportional to 46,299.94 and 69,145.31 is: 103,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,299.94 : 69,145.31 = 69,145.31 : x
  2. Step 2: Convert to fraction form
    46,299.94/69,145.31 = 69,145.31/x
  3. Step 3: Cross multiply
    46,299.94x = 69,145.31 × 69,145.31
  4. Step 4: Simplify right side
    46,299.94x = 4,781,074,240.72
  5. Step 5: Solve for x
    x = 4,781,074,240.72/46,299.94
  6. Step 6: Final answer
    x = 103,263.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.