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Finding the Third Proportional to 219,229.50 and 468,105

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Solution

The third proportional to 219,229.50 and 468,105 is: 999,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,229.50 : 468,105 = 468,105 : x
  2. Step 2: Convert to fraction form
    219,229.50/468,105 = 468,105/x
  3. Step 3: Cross multiply
    219,229.50x = 468,105 × 468,105
  4. Step 4: Simplify right side
    219,229.50x = 219,122,291,025
  5. Step 5: Solve for x
    x = 219,122,291,025/219,229.50
  6. Step 6: Final answer
    x = 999,510.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.