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Finding the Third Proportional to 91,118.25 and 200,164.50

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Solution

The third proportional to 91,118.25 and 200,164.50 is: 439,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,118.25 : 200,164.50 = 200,164.50 : x
  2. Step 2: Convert to fraction form
    91,118.25/200,164.50 = 200,164.50/x
  3. Step 3: Cross multiply
    91,118.25x = 200,164.50 × 200,164.50
  4. Step 4: Simplify right side
    91,118.25x = 40,065,827,060.25
  5. Step 5: Solve for x
    x = 40,065,827,060.25/91,118.25
  6. Step 6: Final answer
    x = 439,712.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.