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Finding the Third Proportional to 109,657.50 and 227,931

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Solution

The third proportional to 109,657.50 and 227,931 is: 473,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,657.50 : 227,931 = 227,931 : x
  2. Step 2: Convert to fraction form
    109,657.50/227,931 = 227,931/x
  3. Step 3: Cross multiply
    109,657.50x = 227,931 × 227,931
  4. Step 4: Simplify right side
    109,657.50x = 51,952,540,761
  5. Step 5: Solve for x
    x = 51,952,540,761/109,657.50
  6. Step 6: Final answer
    x = 473,770.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.