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Finding the Third Proportional to 45,333 and 98,730.75

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Solution

The third proportional to 45,333 and 98,730.75 is: 215,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,333 : 98,730.75 = 98,730.75 : x
  2. Step 2: Convert to fraction form
    45,333/98,730.75 = 98,730.75/x
  3. Step 3: Cross multiply
    45,333x = 98,730.75 × 98,730.75
  4. Step 4: Simplify right side
    45,333x = 9,747,760,995.56
  5. Step 5: Solve for x
    x = 9,747,760,995.56/45,333
  6. Step 6: Final answer
    x = 215,025.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.