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Finding the Third Proportional to 105,888 and 209,088

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Solution

The third proportional to 105,888 and 209,088 is: 412,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,888 : 209,088 = 209,088 : x
  2. Step 2: Convert to fraction form
    105,888/209,088 = 209,088/x
  3. Step 3: Cross multiply
    105,888x = 209,088 × 209,088
  4. Step 4: Simplify right side
    105,888x = 43,717,791,744
  5. Step 5: Solve for x
    x = 43,717,791,744/105,888
  6. Step 6: Final answer
    x = 412,868.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.