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Finding the Third Proportional to 212,068.13 and 454,069.13

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Solution

The third proportional to 212,068.13 and 454,069.13 is: 972,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,068.13 : 454,069.13 = 454,069.13 : x
  2. Step 2: Convert to fraction form
    212,068.13/454,069.13 = 454,069.13/x
  3. Step 3: Cross multiply
    212,068.13x = 454,069.13 × 454,069.13
  4. Step 4: Simplify right side
    212,068.13x = 206,178,770,278.27
  5. Step 5: Solve for x
    x = 206,178,770,278.27/212,068.13
  6. Step 6: Final answer
    x = 972,228.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.