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Finding the Third Proportional to 107,895.38 and 235,470.38

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Solution

The third proportional to 107,895.38 and 235,470.38 is: 513,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,895.38 : 235,470.38 = 235,470.38 : x
  2. Step 2: Convert to fraction form
    107,895.38/235,470.38 = 235,470.38/x
  3. Step 3: Cross multiply
    107,895.38x = 235,470.38 × 235,470.38
  4. Step 4: Simplify right side
    107,895.38x = 55,446,297,502.64
  5. Step 5: Solve for x
    x = 55,446,297,502.64/107,895.38
  6. Step 6: Final answer
    x = 513,889.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.