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Finding the Third Proportional to 97,067.74 and 207,629.58

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Solution

The third proportional to 97,067.74 and 207,629.58 is: 444,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,067.74 : 207,629.58 = 207,629.58 : x
  2. Step 2: Convert to fraction form
    97,067.74/207,629.58 = 207,629.58/x
  3. Step 3: Cross multiply
    97,067.74x = 207,629.58 × 207,629.58
  4. Step 4: Simplify right side
    97,067.74x = 43,110,041,712.37
  5. Step 5: Solve for x
    x = 43,110,041,712.37/97,067.74
  6. Step 6: Final answer
    x = 444,123.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.