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Finding the Third Proportional to 88,675.13 and 192,420.75

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Solution

The third proportional to 88,675.13 and 192,420.75 is: 417,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,675.13 : 192,420.75 = 192,420.75 : x
  2. Step 2: Convert to fraction form
    88,675.13/192,420.75 = 192,420.75/x
  3. Step 3: Cross multiply
    88,675.13x = 192,420.75 × 192,420.75
  4. Step 4: Simplify right side
    88,675.13x = 37,025,745,030.56
  5. Step 5: Solve for x
    x = 37,025,745,030.56/88,675.13
  6. Step 6: Final answer
    x = 417,543.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.