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Finding the Third Proportional to 103,325.25 and 219,050

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Solution

The third proportional to 103,325.25 and 219,050 is: 464,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,325.25 : 219,050 = 219,050 : x
  2. Step 2: Convert to fraction form
    103,325.25/219,050 = 219,050/x
  3. Step 3: Cross multiply
    103,325.25x = 219,050 × 219,050
  4. Step 4: Simplify right side
    103,325.25x = 47,982,902,500
  5. Step 5: Solve for x
    x = 47,982,902,500/103,325.25
  6. Step 6: Final answer
    x = 464,387.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.