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Finding the Third Proportional to 96,271.50 and 211,143

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Solution

The third proportional to 96,271.50 and 211,143 is: 463,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,271.50 : 211,143 = 211,143 : x
  2. Step 2: Convert to fraction form
    96,271.50/211,143 = 211,143/x
  3. Step 3: Cross multiply
    96,271.50x = 211,143 × 211,143
  4. Step 4: Simplify right side
    96,271.50x = 44,581,366,449
  5. Step 5: Solve for x
    x = 44,581,366,449/96,271.50
  6. Step 6: Final answer
    x = 463,079.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.