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Finding the Third Proportional to 196,913.53 and 431,947.69

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Solution

The third proportional to 196,913.53 and 431,947.69 is: 947,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,913.53 : 431,947.69 = 431,947.69 : x
  2. Step 2: Convert to fraction form
    196,913.53/431,947.69 = 431,947.69/x
  3. Step 3: Cross multiply
    196,913.53x = 431,947.69 × 431,947.69
  4. Step 4: Simplify right side
    196,913.53x = 186,578,804,736.60
  5. Step 5: Solve for x
    x = 186,578,804,736.60/196,913.53
  6. Step 6: Final answer
    x = 947,516.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.