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Finding the Third Proportional to 45,507.19 and 94,645.69

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Solution

The third proportional to 45,507.19 and 94,645.69 is: 196,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,507.19 : 94,645.69 = 94,645.69 : x
  2. Step 2: Convert to fraction form
    45,507.19/94,645.69 = 94,645.69/x
  3. Step 3: Cross multiply
    45,507.19x = 94,645.69 × 94,645.69
  4. Step 4: Simplify right side
    45,507.19x = 8,957,806,162.35
  5. Step 5: Solve for x
    x = 8,957,806,162.35/45,507.19
  6. Step 6: Final answer
    x = 196,843.77

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.