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Finding the Third Proportional to 196,900.88 and 431,942.63

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Solution

The third proportional to 196,900.88 and 431,942.63 is: 947,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,900.88 : 431,942.63 = 431,942.63 : x
  2. Step 2: Convert to fraction form
    196,900.88/431,942.63 = 431,942.63/x
  3. Step 3: Cross multiply
    196,900.88x = 431,942.63 × 431,942.63
  4. Step 4: Simplify right side
    196,900.88x = 186,574,431,291.89
  5. Step 5: Solve for x
    x = 186,574,431,291.89/196,900.88
  6. Step 6: Final answer
    x = 947,555.12

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Why These Related Problems?

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