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Finding the Third Proportional to 99,710.25 and 149,638.13

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Solution

The third proportional to 99,710.25 and 149,638.13 is: 224,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,710.25 : 149,638.13 = 149,638.13 : x
  2. Step 2: Convert to fraction form
    99,710.25/149,638.13 = 149,638.13/x
  3. Step 3: Cross multiply
    99,710.25x = 149,638.13 × 149,638.13
  4. Step 4: Simplify right side
    99,710.25x = 22,391,568,453.52
  5. Step 5: Solve for x
    x = 22,391,568,453.52/99,710.25
  6. Step 6: Final answer
    x = 224,566.37

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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.