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Finding the Third Proportional to 83,136.75 and 182,881.50

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Solution

The third proportional to 83,136.75 and 182,881.50 is: 402,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,136.75 : 182,881.50 = 182,881.50 : x
  2. Step 2: Convert to fraction form
    83,136.75/182,881.50 = 182,881.50/x
  3. Step 3: Cross multiply
    83,136.75x = 182,881.50 × 182,881.50
  4. Step 4: Simplify right side
    83,136.75x = 33,445,643,042.25
  5. Step 5: Solve for x
    x = 33,445,643,042.25/83,136.75
  6. Step 6: Final answer
    x = 402,296.73

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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.