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Finding the Third Proportional to 40,907.25 and 89,203.50

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Solution

The third proportional to 40,907.25 and 89,203.50 is: 194,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907.25 : 89,203.50 = 89,203.50 : x
  2. Step 2: Convert to fraction form
    40,907.25/89,203.50 = 89,203.50/x
  3. Step 3: Cross multiply
    40,907.25x = 89,203.50 × 89,203.50
  4. Step 4: Simplify right side
    40,907.25x = 7,957,264,412.25
  5. Step 5: Solve for x
    x = 7,957,264,412.25/40,907.25
  6. Step 6: Final answer
    x = 194,519.66

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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.