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Finding the Third Proportional to 94,695.75 and 208,072.13

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Solution

The third proportional to 94,695.75 and 208,072.13 is: 457,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,695.75 : 208,072.13 = 208,072.13 : x
  2. Step 2: Convert to fraction form
    94,695.75/208,072.13 = 208,072.13/x
  3. Step 3: Cross multiply
    94,695.75x = 208,072.13 × 208,072.13
  4. Step 4: Simplify right side
    94,695.75x = 43,294,009,202.02
  5. Step 5: Solve for x
    x = 43,294,009,202.02/94,695.75
  6. Step 6: Final answer
    x = 457,190.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.