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Finding the Third Proportional to 192,683.81 and 206,010.84

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Solution

The third proportional to 192,683.81 and 206,010.84 is: 220,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,683.81 : 206,010.84 = 206,010.84 : x
  2. Step 2: Convert to fraction form
    192,683.81/206,010.84 = 206,010.84/x
  3. Step 3: Cross multiply
    192,683.81x = 206,010.84 × 206,010.84
  4. Step 4: Simplify right side
    192,683.81x = 42,440,467,742.59
  5. Step 5: Solve for x
    x = 42,440,467,742.59/192,683.81
  6. Step 6: Final answer
    x = 220,259.64

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.