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Finding the Third Proportional to 212,943.94 and 469,096.31

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Solution

The third proportional to 212,943.94 and 469,096.31 is: 1,033,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,943.94 : 469,096.31 = 469,096.31 : x
  2. Step 2: Convert to fraction form
    212,943.94/469,096.31 = 469,096.31/x
  3. Step 3: Cross multiply
    212,943.94x = 469,096.31 × 469,096.31
  4. Step 4: Simplify right side
    212,943.94x = 220,051,350,401.10
  5. Step 5: Solve for x
    x = 220,051,350,401.10/212,943.94
  6. Step 6: Final answer
    x = 1,033,376.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.