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Finding the Third Proportional to 103,322.25 and 219,044.25

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Solution

The third proportional to 103,322.25 and 219,044.25 is: 464,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322.25 : 219,044.25 = 219,044.25 : x
  2. Step 2: Convert to fraction form
    103,322.25/219,044.25 = 219,044.25/x
  3. Step 3: Cross multiply
    103,322.25x = 219,044.25 × 219,044.25
  4. Step 4: Simplify right side
    103,322.25x = 47,980,383,458.06
  5. Step 5: Solve for x
    x = 47,980,383,458.06/103,322.25
  6. Step 6: Final answer
    x = 464,376.10

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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.