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Finding the Third Proportional to 94,371.75 and 205,355.25

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Solution

The third proportional to 94,371.75 and 205,355.25 is: 446,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,371.75 : 205,355.25 = 205,355.25 : x
  2. Step 2: Convert to fraction form
    94,371.75/205,355.25 = 205,355.25/x
  3. Step 3: Cross multiply
    94,371.75x = 205,355.25 × 205,355.25
  4. Step 4: Simplify right side
    94,371.75x = 42,170,778,702.56
  5. Step 5: Solve for x
    x = 42,170,778,702.56/94,371.75
  6. Step 6: Final answer
    x = 446,858.08

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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.