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Finding the Third Proportional to 218,310.19 and 469,805.06

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Solution

The third proportional to 218,310.19 and 469,805.06 is: 1,011,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,310.19 : 469,805.06 = 469,805.06 : x
  2. Step 2: Convert to fraction form
    218,310.19/469,805.06 = 469,805.06/x
  3. Step 3: Cross multiply
    218,310.19x = 469,805.06 × 469,805.06
  4. Step 4: Simplify right side
    218,310.19x = 220,716,796,750.63
  5. Step 5: Solve for x
    x = 220,716,796,750.63/218,310.19
  6. Step 6: Final answer
    x = 1,011,023.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.