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Finding the Third Proportional to 108,899.44 and 175,438.41

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Solution

The third proportional to 108,899.44 and 175,438.41 is: 282,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,899.44 : 175,438.41 = 175,438.41 : x
  2. Step 2: Convert to fraction form
    108,899.44/175,438.41 = 175,438.41/x
  3. Step 3: Cross multiply
    108,899.44x = 175,438.41 × 175,438.41
  4. Step 4: Simplify right side
    108,899.44x = 30,778,634,387.54
  5. Step 5: Solve for x
    x = 30,778,634,387.54/108,899.44
  6. Step 6: Final answer
    x = 282,633.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.