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Finding the Third Proportional to 97,414.88 and 145,731.38

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Solution

The third proportional to 97,414.88 and 145,731.38 is: 218,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,414.88 : 145,731.38 = 145,731.38 : x
  2. Step 2: Convert to fraction form
    97,414.88/145,731.38 = 145,731.38/x
  3. Step 3: Cross multiply
    97,414.88x = 145,731.38 × 145,731.38
  4. Step 4: Simplify right side
    97,414.88x = 21,237,633,659.39
  5. Step 5: Solve for x
    x = 21,237,633,659.39/97,414.88
  6. Step 6: Final answer
    x = 218,012.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.