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Finding the Third Proportional to 98,539.13 and 150,269.25

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Solution

The third proportional to 98,539.13 and 150,269.25 is: 229,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539.13 : 150,269.25 = 150,269.25 : x
  2. Step 2: Convert to fraction form
    98,539.13/150,269.25 = 150,269.25/x
  3. Step 3: Cross multiply
    98,539.13x = 150,269.25 × 150,269.25
  4. Step 4: Simplify right side
    98,539.13x = 22,580,847,495.56
  5. Step 5: Solve for x
    x = 22,580,847,495.56/98,539.13
  6. Step 6: Final answer
    x = 229,156.16

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Why These Related Problems?

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