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Finding the Third Proportional to 100,659.50 and 219,032

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Solution

The third proportional to 100,659.50 and 219,032 is: 476,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,659.50 : 219,032 = 219,032 : x
  2. Step 2: Convert to fraction form
    100,659.50/219,032 = 219,032/x
  3. Step 3: Cross multiply
    100,659.50x = 219,032 × 219,032
  4. Step 4: Simplify right side
    100,659.50x = 47,975,017,024
  5. Step 5: Solve for x
    x = 47,975,017,024/100,659.50
  6. Step 6: Final answer
    x = 476,606.95

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