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Finding the Third Proportional to 119,566.13 and 192,653.44

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Solution

The third proportional to 119,566.13 and 192,653.44 is: 310,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,566.13 : 192,653.44 = 192,653.44 : x
  2. Step 2: Convert to fraction form
    119,566.13/192,653.44 = 192,653.44/x
  3. Step 3: Cross multiply
    119,566.13x = 192,653.44 × 192,653.44
  4. Step 4: Simplify right side
    119,566.13x = 37,115,346,980.57
  5. Step 5: Solve for x
    x = 37,115,346,980.57/119,566.13
  6. Step 6: Final answer
    x = 310,416.91

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.