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Finding the Third Proportional to 99,738.21 and 149,706.98

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Solution

The third proportional to 99,738.21 and 149,706.98 is: 224,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,738.21 : 149,706.98 = 149,706.98 : x
  2. Step 2: Convert to fraction form
    99,738.21/149,706.98 = 149,706.98/x
  3. Step 3: Cross multiply
    99,738.21x = 149,706.98 × 149,706.98
  4. Step 4: Simplify right side
    99,738.21x = 22,412,181,170.66
  5. Step 5: Solve for x
    x = 22,412,181,170.66/99,738.21
  6. Step 6: Final answer
    x = 224,710.08

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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.