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Finding the Third Proportional to 103,325.50 and 219,050.50

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Solution

The third proportional to 103,325.50 and 219,050.50 is: 464,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,325.50 : 219,050.50 = 219,050.50 : x
  2. Step 2: Convert to fraction form
    103,325.50/219,050.50 = 219,050.50/x
  3. Step 3: Cross multiply
    103,325.50x = 219,050.50 × 219,050.50
  4. Step 4: Simplify right side
    103,325.50x = 47,983,121,550.25
  5. Step 5: Solve for x
    x = 47,983,121,550.25/103,325.50
  6. Step 6: Final answer
    x = 464,387.99

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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.