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Finding the Third Proportional to 42,909.75 and 99,662.06

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Solution

The third proportional to 42,909.75 and 99,662.06 is: 231,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909.75 : 99,662.06 = 99,662.06 : x
  2. Step 2: Convert to fraction form
    42,909.75/99,662.06 = 99,662.06/x
  3. Step 3: Cross multiply
    42,909.75x = 99,662.06 × 99,662.06
  4. Step 4: Simplify right side
    42,909.75x = 9,932,526,701.75
  5. Step 5: Solve for x
    x = 9,932,526,701.75/42,909.75
  6. Step 6: Final answer
    x = 231,474.82

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.