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Finding the Third Proportional to 102,064.50 and 204,539.63

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Solution

The third proportional to 102,064.50 and 204,539.63 is: 409,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.50 : 204,539.63 = 204,539.63 : x
  2. Step 2: Convert to fraction form
    102,064.50/204,539.63 = 204,539.63/x
  3. Step 3: Cross multiply
    102,064.50x = 204,539.63 × 204,539.63
  4. Step 4: Simplify right side
    102,064.50x = 41,836,458,195.14
  5. Step 5: Solve for x
    x = 41,836,458,195.14/102,064.50
  6. Step 6: Final answer
    x = 409,902.15

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.