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Finding the Third Proportional to 108,895.22 and 238,749.19

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Solution

The third proportional to 108,895.22 and 238,749.19 is: 523,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,895.22 : 238,749.19 = 238,749.19 : x
  2. Step 2: Convert to fraction form
    108,895.22/238,749.19 = 238,749.19/x
  3. Step 3: Cross multiply
    108,895.22x = 238,749.19 × 238,749.19
  4. Step 4: Simplify right side
    108,895.22x = 57,001,174,531.91
  5. Step 5: Solve for x
    x = 57,001,174,531.91/108,895.22
  6. Step 6: Final answer
    x = 523,449.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.