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Finding the Third Proportional to 97,994.50 and 207,764.25

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Solution

The third proportional to 97,994.50 and 207,764.25 is: 440,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,994.50 : 207,764.25 = 207,764.25 : x
  2. Step 2: Convert to fraction form
    97,994.50/207,764.25 = 207,764.25/x
  3. Step 3: Cross multiply
    97,994.50x = 207,764.25 × 207,764.25
  4. Step 4: Simplify right side
    97,994.50x = 43,165,983,578.06
  5. Step 5: Solve for x
    x = 43,165,983,578.06/97,994.50
  6. Step 6: Final answer
    x = 440,493.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.