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Finding the Third Proportional to 45,321.24 and 98,766.84

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Solution

The third proportional to 45,321.24 and 98,766.84 is: 215,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,321.24 : 98,766.84 = 98,766.84 : x
  2. Step 2: Convert to fraction form
    45,321.24/98,766.84 = 98,766.84/x
  3. Step 3: Cross multiply
    45,321.24x = 98,766.84 × 98,766.84
  4. Step 4: Simplify right side
    45,321.24x = 9,754,889,424.34
  5. Step 5: Solve for x
    x = 9,754,889,424.34/45,321.24
  6. Step 6: Final answer
    x = 215,238.80

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Why These Related Problems?

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