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Finding the Third Proportional to 211,096.13 and 430,788.38

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Solution

The third proportional to 211,096.13 and 430,788.38 is: 879,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,096.13 : 430,788.38 = 430,788.38 : x
  2. Step 2: Convert to fraction form
    211,096.13/430,788.38 = 430,788.38/x
  3. Step 3: Cross multiply
    211,096.13x = 430,788.38 × 430,788.38
  4. Step 4: Simplify right side
    211,096.13x = 185,578,624,035.14
  5. Step 5: Solve for x
    x = 185,578,624,035.14/211,096.13
  6. Step 6: Final answer
    x = 879,119.05

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.