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Finding the Third Proportional to 98,328.94 and 144,240.75

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Solution

The third proportional to 98,328.94 and 144,240.75 is: 211,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,328.94 : 144,240.75 = 144,240.75 : x
  2. Step 2: Convert to fraction form
    98,328.94/144,240.75 = 144,240.75/x
  3. Step 3: Cross multiply
    98,328.94x = 144,240.75 × 144,240.75
  4. Step 4: Simplify right side
    98,328.94x = 20,805,393,960.56
  5. Step 5: Solve for x
    x = 20,805,393,960.56/98,328.94
  6. Step 6: Final answer
    x = 211,589.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.