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Finding the Third Proportional to 87,206.63 and 188,355.38

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Solution

The third proportional to 87,206.63 and 188,355.38 is: 406,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,206.63 : 188,355.38 = 188,355.38 : x
  2. Step 2: Convert to fraction form
    87,206.63/188,355.38 = 188,355.38/x
  3. Step 3: Cross multiply
    87,206.63x = 188,355.38 × 188,355.38
  4. Step 4: Simplify right side
    87,206.63x = 35,477,747,291.39
  5. Step 5: Solve for x
    x = 35,477,747,291.39/87,206.63
  6. Step 6: Final answer
    x = 406,823.99

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