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Finding the Third Proportional to 109,464.75 and 237,615.19

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Solution

The third proportional to 109,464.75 and 237,615.19 is: 515,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,464.75 : 237,615.19 = 237,615.19 : x
  2. Step 2: Convert to fraction form
    109,464.75/237,615.19 = 237,615.19/x
  3. Step 3: Cross multiply
    109,464.75x = 237,615.19 × 237,615.19
  4. Step 4: Simplify right side
    109,464.75x = 56,460,977,330.66
  5. Step 5: Solve for x
    x = 56,460,977,330.66/109,464.75
  6. Step 6: Final answer
    x = 515,791.41

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Why These Related Problems?

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