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Finding the Third Proportional to 94,663.69 and 209,002.78

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Solution

The third proportional to 94,663.69 and 209,002.78 is: 461,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,663.69 : 209,002.78 = 209,002.78 : x
  2. Step 2: Convert to fraction form
    94,663.69/209,002.78 = 209,002.78/x
  3. Step 3: Cross multiply
    94,663.69x = 209,002.78 × 209,002.78
  4. Step 4: Simplify right side
    94,663.69x = 43,682,162,570.24
  5. Step 5: Solve for x
    x = 43,682,162,570.24/94,663.69
  6. Step 6: Final answer
    x = 461,445.82

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.