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Finding the Third Proportional to 45.04 and 97.98

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Solution

The third proportional to 45.04 and 97.98 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.04 : 97.98 = 97.98 : x
  2. Step 2: Convert to fraction form
    45.04/97.98 = 97.98/x
  3. Step 3: Cross multiply
    45.04x = 97.98 × 97.98
  4. Step 4: Simplify right side
    45.04x = 9,600.17
  5. Step 5: Solve for x
    x = 9,600.17/45.04
  6. Step 6: Final answer
    x = 213.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.