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Finding the Third Proportional to 46,816.88 and 68,473.13

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Solution

The third proportional to 46,816.88 and 68,473.13 is: 100,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,816.88 : 68,473.13 = 68,473.13 : x
  2. Step 2: Convert to fraction form
    46,816.88/68,473.13 = 68,473.13/x
  3. Step 3: Cross multiply
    46,816.88x = 68,473.13 × 68,473.13
  4. Step 4: Simplify right side
    46,816.88x = 4,688,568,847.27
  5. Step 5: Solve for x
    x = 4,688,568,847.27/46,816.88
  6. Step 6: Final answer
    x = 100,146.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.