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Finding the Third Proportional to 46,646 and 100,663

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Solution

The third proportional to 46,646 and 100,663 is: 217,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,646 : 100,663 = 100,663 : x
  2. Step 2: Convert to fraction form
    46,646/100,663 = 100,663/x
  3. Step 3: Cross multiply
    46,646x = 100,663 × 100,663
  4. Step 4: Simplify right side
    46,646x = 10,133,039,569
  5. Step 5: Solve for x
    x = 10,133,039,569/46,646
  6. Step 6: Final answer
    x = 217,232.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.