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Finding the Third Proportional to 83,367 and 192,829.50

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Solution

The third proportional to 83,367 and 192,829.50 is: 446,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,367 : 192,829.50 = 192,829.50 : x
  2. Step 2: Convert to fraction form
    83,367/192,829.50 = 192,829.50/x
  3. Step 3: Cross multiply
    83,367x = 192,829.50 × 192,829.50
  4. Step 4: Simplify right side
    83,367x = 37,183,216,070.25
  5. Step 5: Solve for x
    x = 37,183,216,070.25/83,367
  6. Step 6: Final answer
    x = 446,018.40

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.