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Finding the Third Proportional to 40,186.13 and 84,962.67

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Solution

The third proportional to 40,186.13 and 84,962.67 is: 179,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,186.13 : 84,962.67 = 84,962.67 : x
  2. Step 2: Convert to fraction form
    40,186.13/84,962.67 = 84,962.67/x
  3. Step 3: Cross multiply
    40,186.13x = 84,962.67 × 84,962.67
  4. Step 4: Simplify right side
    40,186.13x = 7,218,655,612.14
  5. Step 5: Solve for x
    x = 7,218,655,612.14/40,186.13
  6. Step 6: Final answer
    x = 179,630.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.