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Finding the Third Proportional to 83,019.50 and 183,482

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Solution

The third proportional to 83,019.50 and 183,482 is: 405,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,019.50 : 183,482 = 183,482 : x
  2. Step 2: Convert to fraction form
    83,019.50/183,482 = 183,482/x
  3. Step 3: Cross multiply
    83,019.50x = 183,482 × 183,482
  4. Step 4: Simplify right side
    83,019.50x = 33,665,644,324
  5. Step 5: Solve for x
    x = 33,665,644,324/83,019.50
  6. Step 6: Final answer
    x = 405,514.90

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