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Finding the Third Proportional to 95,815.50 and 211,071

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Solution

The third proportional to 95,815.50 and 211,071 is: 464,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,815.50 : 211,071 = 211,071 : x
  2. Step 2: Convert to fraction form
    95,815.50/211,071 = 211,071/x
  3. Step 3: Cross multiply
    95,815.50x = 211,071 × 211,071
  4. Step 4: Simplify right side
    95,815.50x = 44,550,967,041
  5. Step 5: Solve for x
    x = 44,550,967,041/95,815.50
  6. Step 6: Final answer
    x = 464,966.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.