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Finding the Third Proportional to 208,108.13 and 313,391.81

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Solution

The third proportional to 208,108.13 and 313,391.81 is: 471,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,108.13 : 313,391.81 = 313,391.81 : x
  2. Step 2: Convert to fraction form
    208,108.13/313,391.81 = 313,391.81/x
  3. Step 3: Cross multiply
    208,108.13x = 313,391.81 × 313,391.81
  4. Step 4: Simplify right side
    208,108.13x = 98,214,428,142.04
  5. Step 5: Solve for x
    x = 98,214,428,142.04/208,108.13
  6. Step 6: Final answer
    x = 471,939.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.