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Finding the Third Proportional to 83,930.75 and 181,266.25

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Solution

The third proportional to 83,930.75 and 181,266.25 is: 391,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,930.75 : 181,266.25 = 181,266.25 : x
  2. Step 2: Convert to fraction form
    83,930.75/181,266.25 = 181,266.25/x
  3. Step 3: Cross multiply
    83,930.75x = 181,266.25 × 181,266.25
  4. Step 4: Simplify right side
    83,930.75x = 32,857,453,389.06
  5. Step 5: Solve for x
    x = 32,857,453,389.06/83,930.75
  6. Step 6: Final answer
    x = 391,482.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.