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Finding the Third Proportional to 97,819.88 and 155,484.56

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Solution

The third proportional to 97,819.88 and 155,484.56 is: 247,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,819.88 : 155,484.56 = 155,484.56 : x
  2. Step 2: Convert to fraction form
    97,819.88/155,484.56 = 155,484.56/x
  3. Step 3: Cross multiply
    97,819.88x = 155,484.56 × 155,484.56
  4. Step 4: Simplify right side
    97,819.88x = 24,175,449,175.82
  5. Step 5: Solve for x
    x = 24,175,449,175.82/97,819.88
  6. Step 6: Final answer
    x = 247,142.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.