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Finding the Third Proportional to 105,896.81 and 206,472.38

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Solution

The third proportional to 105,896.81 and 206,472.38 is: 402,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,896.81 : 206,472.38 = 206,472.38 : x
  2. Step 2: Convert to fraction form
    105,896.81/206,472.38 = 206,472.38/x
  3. Step 3: Cross multiply
    105,896.81x = 206,472.38 × 206,472.38
  4. Step 4: Simplify right side
    105,896.81x = 42,630,841,638.14
  5. Step 5: Solve for x
    x = 42,630,841,638.14/105,896.81
  6. Step 6: Final answer
    x = 402,569.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.