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Finding the Third Proportional to 80,398.83 and 171,482.06

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Solution

The third proportional to 80,398.83 and 171,482.06 is: 365,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,398.83 : 171,482.06 = 171,482.06 : x
  2. Step 2: Convert to fraction form
    80,398.83/171,482.06 = 171,482.06/x
  3. Step 3: Cross multiply
    80,398.83x = 171,482.06 × 171,482.06
  4. Step 4: Simplify right side
    80,398.83x = 29,406,097,759.25
  5. Step 5: Solve for x
    x = 29,406,097,759.25/80,398.83
  6. Step 6: Final answer
    x = 365,752.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.