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Finding the Third Proportional to 42,716.25 and 99,804.38

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Solution

The third proportional to 42,716.25 and 99,804.38 is: 233,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,716.25 : 99,804.38 = 99,804.38 : x
  2. Step 2: Convert to fraction form
    42,716.25/99,804.38 = 99,804.38/x
  3. Step 3: Cross multiply
    42,716.25x = 99,804.38 × 99,804.38
  4. Step 4: Simplify right side
    42,716.25x = 9,960,913,269.14
  5. Step 5: Solve for x
    x = 9,960,913,269.14/42,716.25
  6. Step 6: Final answer
    x = 233,187.91

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.