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Finding the Third Proportional to 188,092.13 and 410,457.38

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Solution

The third proportional to 188,092.13 and 410,457.38 is: 895,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,092.13 : 410,457.38 = 410,457.38 : x
  2. Step 2: Convert to fraction form
    188,092.13/410,457.38 = 410,457.38/x
  3. Step 3: Cross multiply
    188,092.13x = 410,457.38 × 410,457.38
  4. Step 4: Simplify right side
    188,092.13x = 168,475,256,691.89
  5. Step 5: Solve for x
    x = 168,475,256,691.89/188,092.13
  6. Step 6: Final answer
    x = 895,706.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.