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Finding the Third Proportional to 94,233 and 205,405.50

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Solution

The third proportional to 94,233 and 205,405.50 is: 447,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,233 : 205,405.50 = 205,405.50 : x
  2. Step 2: Convert to fraction form
    94,233/205,405.50 = 205,405.50/x
  3. Step 3: Cross multiply
    94,233x = 205,405.50 × 205,405.50
  4. Step 4: Simplify right side
    94,233x = 42,191,419,430.25
  5. Step 5: Solve for x
    x = 42,191,419,430.25/94,233
  6. Step 6: Final answer
    x = 447,735.08

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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.