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Finding the Third Proportional to 99,128.81 and 149,612.06

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Solution

The third proportional to 99,128.81 and 149,612.06 is: 225,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,128.81 : 149,612.06 = 149,612.06 : x
  2. Step 2: Convert to fraction form
    99,128.81/149,612.06 = 149,612.06/x
  3. Step 3: Cross multiply
    99,128.81x = 149,612.06 × 149,612.06
  4. Step 4: Simplify right side
    99,128.81x = 22,383,769,245.50
  5. Step 5: Solve for x
    x = 22,383,769,245.50/99,128.81
  6. Step 6: Final answer
    x = 225,804.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.