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Finding the Third Proportional to 83,992.88 and 181,345.88

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Solution

The third proportional to 83,992.88 and 181,345.88 is: 391,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,992.88 : 181,345.88 = 181,345.88 : x
  2. Step 2: Convert to fraction form
    83,992.88/181,345.88 = 181,345.88/x
  3. Step 3: Cross multiply
    83,992.88x = 181,345.88 × 181,345.88
  4. Step 4: Simplify right side
    83,992.88x = 32,886,326,379.52
  5. Step 5: Solve for x
    x = 32,886,326,379.52/83,992.88
  6. Step 6: Final answer
    x = 391,537.10

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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.