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Finding the Third Proportional to 83,236 and 183,438.50

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Solution

The third proportional to 83,236 and 183,438.50 is: 404,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,236 : 183,438.50 = 183,438.50 : x
  2. Step 2: Convert to fraction form
    83,236/183,438.50 = 183,438.50/x
  3. Step 3: Cross multiply
    83,236x = 183,438.50 × 183,438.50
  4. Step 4: Simplify right side
    83,236x = 33,649,683,282.25
  5. Step 5: Solve for x
    x = 33,649,683,282.25/83,236
  6. Step 6: Final answer
    x = 404,268.38

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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.