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Finding the Third Proportional to 45,231.02 and 96,473.61

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Solution

The third proportional to 45,231.02 and 96,473.61 is: 205,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,231.02 : 96,473.61 = 96,473.61 : x
  2. Step 2: Convert to fraction form
    45,231.02/96,473.61 = 96,473.61/x
  3. Step 3: Cross multiply
    45,231.02x = 96,473.61 × 96,473.61
  4. Step 4: Simplify right side
    45,231.02x = 9,307,157,494.27
  5. Step 5: Solve for x
    x = 9,307,157,494.27/45,231.02
  6. Step 6: Final answer
    x = 205,769.37

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Why These Related Problems?

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