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Finding the Third Proportional to 100,464.19 and 136,441.13

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Solution

The third proportional to 100,464.19 and 136,441.13 is: 185,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,464.19 : 136,441.13 = 136,441.13 : x
  2. Step 2: Convert to fraction form
    100,464.19/136,441.13 = 136,441.13/x
  3. Step 3: Cross multiply
    100,464.19x = 136,441.13 × 136,441.13
  4. Step 4: Simplify right side
    100,464.19x = 18,616,180,591.27
  5. Step 5: Solve for x
    x = 18,616,180,591.27/100,464.19
  6. Step 6: Final answer
    x = 185,301.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.