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Finding the Third Proportional to 91,730.25 and 193,407.75

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Solution

The third proportional to 91,730.25 and 193,407.75 is: 407,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,730.25 : 193,407.75 = 193,407.75 : x
  2. Step 2: Convert to fraction form
    91,730.25/193,407.75 = 193,407.75/x
  3. Step 3: Cross multiply
    91,730.25x = 193,407.75 × 193,407.75
  4. Step 4: Simplify right side
    91,730.25x = 37,406,557,760.06
  5. Step 5: Solve for x
    x = 37,406,557,760.06/91,730.25
  6. Step 6: Final answer
    x = 407,788.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.