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Finding the Third Proportional to 98,640 and 150,418.50

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Solution

The third proportional to 98,640 and 150,418.50 is: 229,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,640 : 150,418.50 = 150,418.50 : x
  2. Step 2: Convert to fraction form
    98,640/150,418.50 = 150,418.50/x
  3. Step 3: Cross multiply
    98,640x = 150,418.50 × 150,418.50
  4. Step 4: Simplify right side
    98,640x = 22,625,725,142.25
  5. Step 5: Solve for x
    x = 22,625,725,142.25/98,640
  6. Step 6: Final answer
    x = 229,376.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.