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Finding the Third Proportional to 98,539.31 and 150,269.63

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Solution

The third proportional to 98,539.31 and 150,269.63 is: 229,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539.31 : 150,269.63 = 150,269.63 : x
  2. Step 2: Convert to fraction form
    98,539.31/150,269.63 = 150,269.63/x
  3. Step 3: Cross multiply
    98,539.31x = 150,269.63 × 150,269.63
  4. Step 4: Simplify right side
    98,539.31x = 22,580,960,197.64
  5. Step 5: Solve for x
    x = 22,580,960,197.64/98,539.31
  6. Step 6: Final answer
    x = 229,156.87

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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.