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Finding the Third Proportional to 45,778.92 and 98,460.56

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Solution

The third proportional to 45,778.92 and 98,460.56 is: 211,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,778.92 : 98,460.56 = 98,460.56 : x
  2. Step 2: Convert to fraction form
    45,778.92/98,460.56 = 98,460.56/x
  3. Step 3: Cross multiply
    45,778.92x = 98,460.56 × 98,460.56
  4. Step 4: Simplify right side
    45,778.92x = 9,694,482,367.82
  5. Step 5: Solve for x
    x = 9,694,482,367.82/45,778.92
  6. Step 6: Final answer
    x = 211,767.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.