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Finding the Third Proportional to 99,893 and 212,500

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Solution

The third proportional to 99,893 and 212,500 is: 452,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,893 : 212,500 = 212,500 : x
  2. Step 2: Convert to fraction form
    99,893/212,500 = 212,500/x
  3. Step 3: Cross multiply
    99,893x = 212,500 × 212,500
  4. Step 4: Simplify right side
    99,893x = 45,156,250,000
  5. Step 5: Solve for x
    x = 45,156,250,000/99,893
  6. Step 6: Final answer
    x = 452,046.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.