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Finding the Third Proportional to 99,396 and 212,992

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Solution

The third proportional to 99,396 and 212,992 is: 456,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,396 : 212,992 = 212,992 : x
  2. Step 2: Convert to fraction form
    99,396/212,992 = 212,992/x
  3. Step 3: Cross multiply
    99,396x = 212,992 × 212,992
  4. Step 4: Simplify right side
    99,396x = 45,365,592,064
  5. Step 5: Solve for x
    x = 45,365,592,064/99,396
  6. Step 6: Final answer
    x = 456,412.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.