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Finding the Third Proportional to 103,034.25 and 219,568.50

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Solution

The third proportional to 103,034.25 and 219,568.50 is: 467,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,034.25 : 219,568.50 = 219,568.50 : x
  2. Step 2: Convert to fraction form
    103,034.25/219,568.50 = 219,568.50/x
  3. Step 3: Cross multiply
    103,034.25x = 219,568.50 × 219,568.50
  4. Step 4: Simplify right side
    103,034.25x = 48,210,326,192.25
  5. Step 5: Solve for x
    x = 48,210,326,192.25/103,034.25
  6. Step 6: Final answer
    x = 467,905.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.