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Finding the Third Proportional to 196,917.75 and 431,956.13

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Solution

The third proportional to 196,917.75 and 431,956.13 is: 947,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,917.75 : 431,956.13 = 431,956.13 : x
  2. Step 2: Convert to fraction form
    196,917.75/431,956.13 = 431,956.13/x
  3. Step 3: Cross multiply
    196,917.75x = 431,956.13 × 431,956.13
  4. Step 4: Simplify right side
    196,917.75x = 186,586,093,925.02
  5. Step 5: Solve for x
    x = 186,586,093,925.02/196,917.75
  6. Step 6: Final answer
    x = 947,533.14

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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.