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Finding the Third Proportional to 91,875.75 and 202,374

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Solution

The third proportional to 91,875.75 and 202,374 is: 445,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,875.75 : 202,374 = 202,374 : x
  2. Step 2: Convert to fraction form
    91,875.75/202,374 = 202,374/x
  3. Step 3: Cross multiply
    91,875.75x = 202,374 × 202,374
  4. Step 4: Simplify right side
    91,875.75x = 40,955,235,876
  5. Step 5: Solve for x
    x = 40,955,235,876/91,875.75
  6. Step 6: Final answer
    x = 445,767.64

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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.