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Finding the Third Proportional to 77,884.13 and 167,614.13

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Solution

The third proportional to 77,884.13 and 167,614.13 is: 360,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,884.13 : 167,614.13 = 167,614.13 : x
  2. Step 2: Convert to fraction form
    77,884.13/167,614.13 = 167,614.13/x
  3. Step 3: Cross multiply
    77,884.13x = 167,614.13 × 167,614.13
  4. Step 4: Simplify right side
    77,884.13x = 28,094,494,899.52
  5. Step 5: Solve for x
    x = 28,094,494,899.52/77,884.13
  6. Step 6: Final answer
    x = 360,721.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.