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Finding the Third Proportional to 108,180.38 and 235,409.63

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Solution

The third proportional to 108,180.38 and 235,409.63 is: 512,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,180.38 : 235,409.63 = 235,409.63 : x
  2. Step 2: Convert to fraction form
    108,180.38/235,409.63 = 235,409.63/x
  3. Step 3: Cross multiply
    108,180.38x = 235,409.63 × 235,409.63
  4. Step 4: Simplify right side
    108,180.38x = 55,417,691,542.64
  5. Step 5: Solve for x
    x = 55,417,691,542.64/108,180.38
  6. Step 6: Final answer
    x = 512,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.