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Finding the Third Proportional to 96,312 and 211,620

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Solution

The third proportional to 96,312 and 211,620 is: 464,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,312 : 211,620 = 211,620 : x
  2. Step 2: Convert to fraction form
    96,312/211,620 = 211,620/x
  3. Step 3: Cross multiply
    96,312x = 211,620 × 211,620
  4. Step 4: Simplify right side
    96,312x = 44,783,024,400
  5. Step 5: Solve for x
    x = 44,783,024,400/96,312
  6. Step 6: Final answer
    x = 464,978.66

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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.