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Finding the Third Proportional to 96,457.25 and 211,590

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Solution

The third proportional to 96,457.25 and 211,590 is: 464,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,457.25 : 211,590 = 211,590 : x
  2. Step 2: Convert to fraction form
    96,457.25/211,590 = 211,590/x
  3. Step 3: Cross multiply
    96,457.25x = 211,590 × 211,590
  4. Step 4: Simplify right side
    96,457.25x = 44,770,328,100
  5. Step 5: Solve for x
    x = 44,770,328,100/96,457.25
  6. Step 6: Final answer
    x = 464,146.84

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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.