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Finding the Third Proportional to 214,622.16 and 466,149.09

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Solution

The third proportional to 214,622.16 and 466,149.09 is: 1,012,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,622.16 : 466,149.09 = 466,149.09 : x
  2. Step 2: Convert to fraction form
    214,622.16/466,149.09 = 466,149.09/x
  3. Step 3: Cross multiply
    214,622.16x = 466,149.09 × 466,149.09
  4. Step 4: Simplify right side
    214,622.16x = 217,294,977,603.95
  5. Step 5: Solve for x
    x = 217,294,977,603.95/214,622.16
  6. Step 6: Final answer
    x = 1,012,453.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.