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Finding the Third Proportional to 83,684.25 and 183,953.25

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Solution

The third proportional to 83,684.25 and 183,953.25 is: 404,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,684.25 : 183,953.25 = 183,953.25 : x
  2. Step 2: Convert to fraction form
    83,684.25/183,953.25 = 183,953.25/x
  3. Step 3: Cross multiply
    83,684.25x = 183,953.25 × 183,953.25
  4. Step 4: Simplify right side
    83,684.25x = 33,838,798,185.56
  5. Step 5: Solve for x
    x = 33,838,798,185.56/83,684.25
  6. Step 6: Final answer
    x = 404,362.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.