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Finding the Third Proportional to 40,692.94 and 89,264.25

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Solution

The third proportional to 40,692.94 and 89,264.25 is: 195,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,692.94 : 89,264.25 = 89,264.25 : x
  2. Step 2: Convert to fraction form
    40,692.94/89,264.25 = 89,264.25/x
  3. Step 3: Cross multiply
    40,692.94x = 89,264.25 × 89,264.25
  4. Step 4: Simplify right side
    40,692.94x = 7,968,106,328.06
  5. Step 5: Solve for x
    x = 7,968,106,328.06/40,692.94
  6. Step 6: Final answer
    x = 195,810.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.