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Finding the Third Proportional to 48,536 and 98,392

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Solution

The third proportional to 48,536 and 98,392 is: 199,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,536 : 98,392 = 98,392 : x
  2. Step 2: Convert to fraction form
    48,536/98,392 = 98,392/x
  3. Step 3: Cross multiply
    48,536x = 98,392 × 98,392
  4. Step 4: Simplify right side
    48,536x = 9,680,985,664
  5. Step 5: Solve for x
    x = 9,680,985,664/48,536
  6. Step 6: Final answer
    x = 199,459.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.