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Finding the Third Proportional to 107,190 and 228,618.75

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Solution

The third proportional to 107,190 and 228,618.75 is: 487,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,190 : 228,618.75 = 228,618.75 : x
  2. Step 2: Convert to fraction form
    107,190/228,618.75 = 228,618.75/x
  3. Step 3: Cross multiply
    107,190x = 228,618.75 × 228,618.75
  4. Step 4: Simplify right side
    107,190x = 52,266,532,851.56
  5. Step 5: Solve for x
    x = 52,266,532,851.56/107,190
  6. Step 6: Final answer
    x = 487,606.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.