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Finding the Third Proportional to 117,230.63 and 181,637.44

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Solution

The third proportional to 117,230.63 and 181,637.44 is: 281,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,230.63 : 181,637.44 = 181,637.44 : x
  2. Step 2: Convert to fraction form
    117,230.63/181,637.44 = 181,637.44/x
  3. Step 3: Cross multiply
    117,230.63x = 181,637.44 × 181,637.44
  4. Step 4: Simplify right side
    117,230.63x = 32,992,158,701.57
  5. Step 5: Solve for x
    x = 32,992,158,701.57/117,230.63
  6. Step 6: Final answer
    x = 281,429.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.