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Finding the Third Proportional to 99,079 and 213,950

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Solution

The third proportional to 99,079 and 213,950 is: 462,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,079 : 213,950 = 213,950 : x
  2. Step 2: Convert to fraction form
    99,079/213,950 = 213,950/x
  3. Step 3: Cross multiply
    99,079x = 213,950 × 213,950
  4. Step 4: Simplify right side
    99,079x = 45,774,602,500
  5. Step 5: Solve for x
    x = 45,774,602,500/99,079
  6. Step 6: Final answer
    x = 462,001.05

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