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Finding the Third Proportional to 45,678.94 and 110,044.83

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Solution

The third proportional to 45,678.94 and 110,044.83 is: 265,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,678.94 : 110,044.83 = 110,044.83 : x
  2. Step 2: Convert to fraction form
    45,678.94/110,044.83 = 110,044.83/x
  3. Step 3: Cross multiply
    45,678.94x = 110,044.83 × 110,044.83
  4. Step 4: Simplify right side
    45,678.94x = 12,109,864,197.06
  5. Step 5: Solve for x
    x = 12,109,864,197.06/45,678.94
  6. Step 6: Final answer
    x = 265,108.27

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.