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Finding the Third Proportional to 48,393 and 106,423.88

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Solution

The third proportional to 48,393 and 106,423.88 is: 234,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,393 : 106,423.88 = 106,423.88 : x
  2. Step 2: Convert to fraction form
    48,393/106,423.88 = 106,423.88/x
  3. Step 3: Cross multiply
    48,393x = 106,423.88 × 106,423.88
  4. Step 4: Simplify right side
    48,393x = 11,326,041,170.02
  5. Step 5: Solve for x
    x = 11,326,041,170.02/48,393
  6. Step 6: Final answer
    x = 234,042.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.