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Finding the Third Proportional to 91,903.50 and 193,155

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Solution

The third proportional to 91,903.50 and 193,155 is: 405,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,903.50 : 193,155 = 193,155 : x
  2. Step 2: Convert to fraction form
    91,903.50/193,155 = 193,155/x
  3. Step 3: Cross multiply
    91,903.50x = 193,155 × 193,155
  4. Step 4: Simplify right side
    91,903.50x = 37,308,854,025
  5. Step 5: Solve for x
    x = 37,308,854,025/91,903.50
  6. Step 6: Final answer
    x = 405,956.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.