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Finding the Third Proportional to 73,693.13 and 157,899.38

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Solution

The third proportional to 73,693.13 and 157,899.38 is: 338,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,693.13 : 157,899.38 = 157,899.38 : x
  2. Step 2: Convert to fraction form
    73,693.13/157,899.38 = 157,899.38/x
  3. Step 3: Cross multiply
    73,693.13x = 157,899.38 × 157,899.38
  4. Step 4: Simplify right side
    73,693.13x = 24,932,212,625.39
  5. Step 5: Solve for x
    x = 24,932,212,625.39/73,693.13
  6. Step 6: Final answer
    x = 338,324.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.