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Finding the Third Proportional to 83,009.50 and 183,463.50

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Solution

The third proportional to 83,009.50 and 183,463.50 is: 405,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009.50 : 183,463.50 = 183,463.50 : x
  2. Step 2: Convert to fraction form
    83,009.50/183,463.50 = 183,463.50/x
  3. Step 3: Cross multiply
    83,009.50x = 183,463.50 × 183,463.50
  4. Step 4: Simplify right side
    83,009.50x = 33,658,855,832.25
  5. Step 5: Solve for x
    x = 33,658,855,832.25/83,009.50
  6. Step 6: Final answer
    x = 405,481.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.