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Finding the Third Proportional to 45.84 and 99.91

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Solution

The third proportional to 45.84 and 99.91 is: 217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.84 : 99.91 = 99.91 : x
  2. Step 2: Convert to fraction form
    45.84/99.91 = 99.91/x
  3. Step 3: Cross multiply
    45.84x = 99.91 × 99.91
  4. Step 4: Simplify right side
    45.84x = 9,981.26
  5. Step 5: Solve for x
    x = 9,981.26/45.84
  6. Step 6: Final answer
    x = 217.72

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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.