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Finding the Third Proportional to 97,934 and 211,416

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Solution

The third proportional to 97,934 and 211,416 is: 456,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,934 : 211,416 = 211,416 : x
  2. Step 2: Convert to fraction form
    97,934/211,416 = 211,416/x
  3. Step 3: Cross multiply
    97,934x = 211,416 × 211,416
  4. Step 4: Simplify right side
    97,934x = 44,696,725,056
  5. Step 5: Solve for x
    x = 44,696,725,056/97,934
  6. Step 6: Final answer
    x = 456,396.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.