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Finding the Third Proportional to 87,210 and 188,362.50

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Solution

The third proportional to 87,210 and 188,362.50 is: 406,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,210 : 188,362.50 = 188,362.50 : x
  2. Step 2: Convert to fraction form
    87,210/188,362.50 = 188,362.50/x
  3. Step 3: Cross multiply
    87,210x = 188,362.50 × 188,362.50
  4. Step 4: Simplify right side
    87,210x = 35,480,431,406.25
  5. Step 5: Solve for x
    x = 35,480,431,406.25/87,210
  6. Step 6: Final answer
    x = 406,839.03

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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.