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Finding the Third Proportional to 100,303.50 and 218,595

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Solution

The third proportional to 100,303.50 and 218,595 is: 476,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,303.50 : 218,595 = 218,595 : x
  2. Step 2: Convert to fraction form
    100,303.50/218,595 = 218,595/x
  3. Step 3: Cross multiply
    100,303.50x = 218,595 × 218,595
  4. Step 4: Simplify right side
    100,303.50x = 47,783,774,025
  5. Step 5: Solve for x
    x = 47,783,774,025/100,303.50
  6. Step 6: Final answer
    x = 476,391.89

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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.