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Finding the Third Proportional to 107,231.34 and 232,115.31

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Solution

The third proportional to 107,231.34 and 232,115.31 is: 502,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,231.34 : 232,115.31 = 232,115.31 : x
  2. Step 2: Convert to fraction form
    107,231.34/232,115.31 = 232,115.31/x
  3. Step 3: Cross multiply
    107,231.34x = 232,115.31 × 232,115.31
  4. Step 4: Simplify right side
    107,231.34x = 53,877,516,483.57
  5. Step 5: Solve for x
    x = 53,877,516,483.57/107,231.34
  6. Step 6: Final answer
    x = 502,441.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.