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Finding the Third Proportional to 103,322.75 and 219,045.25

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Solution

The third proportional to 103,322.75 and 219,045.25 is: 464,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322.75 : 219,045.25 = 219,045.25 : x
  2. Step 2: Convert to fraction form
    103,322.75/219,045.25 = 219,045.25/x
  3. Step 3: Cross multiply
    103,322.75x = 219,045.25 × 219,045.25
  4. Step 4: Simplify right side
    103,322.75x = 47,980,821,547.56
  5. Step 5: Solve for x
    x = 47,980,821,547.56/103,322.75
  6. Step 6: Final answer
    x = 464,378.09

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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.