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Finding the Third Proportional to 42,428.25 and 88,302.94

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Solution

The third proportional to 42,428.25 and 88,302.94 is: 183,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,428.25 : 88,302.94 = 88,302.94 : x
  2. Step 2: Convert to fraction form
    42,428.25/88,302.94 = 88,302.94/x
  3. Step 3: Cross multiply
    42,428.25x = 88,302.94 × 88,302.94
  4. Step 4: Simplify right side
    42,428.25x = 7,797,408,771.13
  5. Step 5: Solve for x
    x = 7,797,408,771.13/42,428.25
  6. Step 6: Final answer
    x = 183,778.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.