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Finding the Third Proportional to 45,913.50 and 99,171

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Solution

The third proportional to 45,913.50 and 99,171 is: 214,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,913.50 : 99,171 = 99,171 : x
  2. Step 2: Convert to fraction form
    45,913.50/99,171 = 99,171/x
  3. Step 3: Cross multiply
    45,913.50x = 99,171 × 99,171
  4. Step 4: Simplify right side
    45,913.50x = 9,834,887,241
  5. Step 5: Solve for x
    x = 9,834,887,241/45,913.50
  6. Step 6: Final answer
    x = 214,204.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.