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Finding the Third Proportional to 87,814.50 and 188,941.50

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Solution

The third proportional to 87,814.50 and 188,941.50 is: 406,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,814.50 : 188,941.50 = 188,941.50 : x
  2. Step 2: Convert to fraction form
    87,814.50/188,941.50 = 188,941.50/x
  3. Step 3: Cross multiply
    87,814.50x = 188,941.50 × 188,941.50
  4. Step 4: Simplify right side
    87,814.50x = 35,698,890,422.25
  5. Step 5: Solve for x
    x = 35,698,890,422.25/87,814.50
  6. Step 6: Final answer
    x = 406,526.15

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.