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Finding the Third Proportional to 107,641.41 and 232,505.44

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Solution

The third proportional to 107,641.41 and 232,505.44 is: 502,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,641.41 : 232,505.44 = 232,505.44 : x
  2. Step 2: Convert to fraction form
    107,641.41/232,505.44 = 232,505.44/x
  3. Step 3: Cross multiply
    107,641.41x = 232,505.44 × 232,505.44
  4. Step 4: Simplify right side
    107,641.41x = 54,058,778,467.07
  5. Step 5: Solve for x
    x = 54,058,778,467.07/107,641.41
  6. Step 6: Final answer
    x = 502,211.75

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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.