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Finding the Third Proportional to 208,196.13 and 452,066.38

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Solution

The third proportional to 208,196.13 and 452,066.38 is: 981,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,196.13 : 452,066.38 = 452,066.38 : x
  2. Step 2: Convert to fraction form
    208,196.13/452,066.38 = 452,066.38/x
  3. Step 3: Cross multiply
    208,196.13x = 452,066.38 × 452,066.38
  4. Step 4: Simplify right side
    208,196.13x = 204,364,007,405.64
  5. Step 5: Solve for x
    x = 204,364,007,405.64/208,196.13
  6. Step 6: Final answer
    x = 981,593.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.