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Finding the Third Proportional to 97,226.58 and 207,939.66

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Solution

The third proportional to 97,226.58 and 207,939.66 is: 444,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,226.58 : 207,939.66 = 207,939.66 : x
  2. Step 2: Convert to fraction form
    97,226.58/207,939.66 = 207,939.66/x
  3. Step 3: Cross multiply
    97,226.58x = 207,939.66 × 207,939.66
  4. Step 4: Simplify right side
    97,226.58x = 43,238,900,641.37
  5. Step 5: Solve for x
    x = 43,238,900,641.37/97,226.58
  6. Step 6: Final answer
    x = 444,723.05

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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.