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Finding the Third Proportional to 48,320.25 and 98,000.25

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Solution

The third proportional to 48,320.25 and 98,000.25 is: 198,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,320.25 : 98,000.25 = 98,000.25 : x
  2. Step 2: Convert to fraction form
    48,320.25/98,000.25 = 98,000.25/x
  3. Step 3: Cross multiply
    48,320.25x = 98,000.25 × 98,000.25
  4. Step 4: Simplify right side
    48,320.25x = 9,604,049,000.06
  5. Step 5: Solve for x
    x = 9,604,049,000.06/48,320.25
  6. Step 6: Final answer
    x = 198,758.26

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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.