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Finding the Third Proportional to 97,131 and 211,353

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Solution

The third proportional to 97,131 and 211,353 is: 459,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,131 : 211,353 = 211,353 : x
  2. Step 2: Convert to fraction form
    97,131/211,353 = 211,353/x
  3. Step 3: Cross multiply
    97,131x = 211,353 × 211,353
  4. Step 4: Simplify right side
    97,131x = 44,670,090,609
  5. Step 5: Solve for x
    x = 44,670,090,609/97,131
  6. Step 6: Final answer
    x = 459,895.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.