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Finding the Third Proportional to 96,458.50 and 211,592

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Solution

The third proportional to 96,458.50 and 211,592 is: 464,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,458.50 : 211,592 = 211,592 : x
  2. Step 2: Convert to fraction form
    96,458.50/211,592 = 211,592/x
  3. Step 3: Cross multiply
    96,458.50x = 211,592 × 211,592
  4. Step 4: Simplify right side
    96,458.50x = 44,771,174,464
  5. Step 5: Solve for x
    x = 44,771,174,464/96,458.50
  6. Step 6: Final answer
    x = 464,149.60

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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.