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Finding the Third Proportional to 94,211.16 and 205,333.59

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Solution

The third proportional to 94,211.16 and 205,333.59 is: 447,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,211.16 : 205,333.59 = 205,333.59 : x
  2. Step 2: Convert to fraction form
    94,211.16/205,333.59 = 205,333.59/x
  3. Step 3: Cross multiply
    94,211.16x = 205,333.59 × 205,333.59
  4. Step 4: Simplify right side
    94,211.16x = 42,161,884,722.29
  5. Step 5: Solve for x
    x = 42,161,884,722.29/94,211.16
  6. Step 6: Final answer
    x = 447,525.39

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