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Finding the Third Proportional to 91,268.72 and 199,742.91

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Solution

The third proportional to 91,268.72 and 199,742.91 is: 437,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,268.72 : 199,742.91 = 199,742.91 : x
  2. Step 2: Convert to fraction form
    91,268.72/199,742.91 = 199,742.91/x
  3. Step 3: Cross multiply
    91,268.72x = 199,742.91 × 199,742.91
  4. Step 4: Simplify right side
    91,268.72x = 39,897,228,597.20
  5. Step 5: Solve for x
    x = 39,897,228,597.20/91,268.72
  6. Step 6: Final answer
    x = 437,140.23

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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.