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Finding the Third Proportional to 108,615.30 and 224,778.32

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Solution

The third proportional to 108,615.30 and 224,778.32 is: 465,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,615.30 : 224,778.32 = 224,778.32 : x
  2. Step 2: Convert to fraction form
    108,615.30/224,778.32 = 224,778.32/x
  3. Step 3: Cross multiply
    108,615.30x = 224,778.32 × 224,778.32
  4. Step 4: Simplify right side
    108,615.30x = 50,525,294,160.55
  5. Step 5: Solve for x
    x = 50,525,294,160.55/108,615.30
  6. Step 6: Final answer
    x = 465,176.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.