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Finding the Third Proportional to 65,405.63 and 98,108.63

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Solution

The third proportional to 65,405.63 and 98,108.63 is: 147,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,405.63 : 98,108.63 = 98,108.63 : x
  2. Step 2: Convert to fraction form
    65,405.63/98,108.63 = 98,108.63/x
  3. Step 3: Cross multiply
    65,405.63x = 98,108.63 × 98,108.63
  4. Step 4: Simplify right side
    65,405.63x = 9,625,302,299.39
  5. Step 5: Solve for x
    x = 9,625,302,299.39/65,405.63
  6. Step 6: Final answer
    x = 147,163.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.