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Finding the Third Proportional to 46,896 and 101,154

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Solution

The third proportional to 46,896 and 101,154 is: 218,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896 : 101,154 = 101,154 : x
  2. Step 2: Convert to fraction form
    46,896/101,154 = 101,154/x
  3. Step 3: Cross multiply
    46,896x = 101,154 × 101,154
  4. Step 4: Simplify right side
    46,896x = 10,232,131,716
  5. Step 5: Solve for x
    x = 10,232,131,716/46,896
  6. Step 6: Final answer
    x = 218,187.73

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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.