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Finding the Third Proportional to 80,269.73 and 190,166.48

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Solution

The third proportional to 80,269.73 and 190,166.48 is: 450,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,269.73 : 190,166.48 = 190,166.48 : x
  2. Step 2: Convert to fraction form
    80,269.73/190,166.48 = 190,166.48/x
  3. Step 3: Cross multiply
    80,269.73x = 190,166.48 × 190,166.48
  4. Step 4: Simplify right side
    80,269.73x = 36,163,291,779.55
  5. Step 5: Solve for x
    x = 36,163,291,779.55/80,269.73
  6. Step 6: Final answer
    x = 450,522.13

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.