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Finding the Third Proportional to 45,277.31 and 98,333.44

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Solution

The third proportional to 45,277.31 and 98,333.44 is: 213,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,277.31 : 98,333.44 = 98,333.44 : x
  2. Step 2: Convert to fraction form
    45,277.31/98,333.44 = 98,333.44/x
  3. Step 3: Cross multiply
    45,277.31x = 98,333.44 × 98,333.44
  4. Step 4: Simplify right side
    45,277.31x = 9,669,464,930.57
  5. Step 5: Solve for x
    x = 9,669,464,930.57/45,277.31
  6. Step 6: Final answer
    x = 213,560.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.