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Finding the Third Proportional to 42,423.75 and 92,228.63

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Solution

The third proportional to 42,423.75 and 92,228.63 is: 200,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,423.75 : 92,228.63 = 92,228.63 : x
  2. Step 2: Convert to fraction form
    42,423.75/92,228.63 = 92,228.63/x
  3. Step 3: Cross multiply
    42,423.75x = 92,228.63 × 92,228.63
  4. Step 4: Simplify right side
    42,423.75x = 8,506,119,269.39
  5. Step 5: Solve for x
    x = 8,506,119,269.39/42,423.75
  6. Step 6: Final answer
    x = 200,503.71

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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.