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Finding the Third Proportional to 108,464.63 and 222,214.13

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Solution

The third proportional to 108,464.63 and 222,214.13 is: 455,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,464.63 : 222,214.13 = 222,214.13 : x
  2. Step 2: Convert to fraction form
    108,464.63/222,214.13 = 222,214.13/x
  3. Step 3: Cross multiply
    108,464.63x = 222,214.13 × 222,214.13
  4. Step 4: Simplify right side
    108,464.63x = 49,379,117,349.52
  5. Step 5: Solve for x
    x = 49,379,117,349.52/108,464.63
  6. Step 6: Final answer
    x = 455,255.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.