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Finding the Third Proportional to 87,235.50 and 188,962.50

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Solution

The third proportional to 87,235.50 and 188,962.50 is: 409,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,235.50 : 188,962.50 = 188,962.50 : x
  2. Step 2: Convert to fraction form
    87,235.50/188,962.50 = 188,962.50/x
  3. Step 3: Cross multiply
    87,235.50x = 188,962.50 × 188,962.50
  4. Step 4: Simplify right side
    87,235.50x = 35,706,826,406.25
  5. Step 5: Solve for x
    x = 35,706,826,406.25/87,235.50
  6. Step 6: Final answer
    x = 409,315.32

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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.