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Finding the Third Proportional to 97,914.66 and 132,108.47

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Solution

The third proportional to 97,914.66 and 132,108.47 is: 178,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,914.66 : 132,108.47 = 132,108.47 : x
  2. Step 2: Convert to fraction form
    97,914.66/132,108.47 = 132,108.47/x
  3. Step 3: Cross multiply
    97,914.66x = 132,108.47 × 132,108.47
  4. Step 4: Simplify right side
    97,914.66x = 17,452,647,515.47
  5. Step 5: Solve for x
    x = 17,452,647,515.47/97,914.66
  6. Step 6: Final answer
    x = 178,243.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.