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Finding the Third Proportional to 50,083.13 and 108,066.38

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Solution

The third proportional to 50,083.13 and 108,066.38 is: 233,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,083.13 : 108,066.38 = 108,066.38 : x
  2. Step 2: Convert to fraction form
    50,083.13/108,066.38 = 108,066.38/x
  3. Step 3: Cross multiply
    50,083.13x = 108,066.38 × 108,066.38
  4. Step 4: Simplify right side
    50,083.13x = 11,678,341,405.64
  5. Step 5: Solve for x
    x = 11,678,341,405.64/50,083.13
  6. Step 6: Final answer
    x = 233,179.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.