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Finding the Third Proportional to 42,219.56 and 92,229.75

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Solution

The third proportional to 42,219.56 and 92,229.75 is: 201,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,219.56 : 92,229.75 = 92,229.75 : x
  2. Step 2: Convert to fraction form
    42,219.56/92,229.75 = 92,229.75/x
  3. Step 3: Cross multiply
    42,219.56x = 92,229.75 × 92,229.75
  4. Step 4: Simplify right side
    42,219.56x = 8,506,326,785.06
  5. Step 5: Solve for x
    x = 8,506,326,785.06/42,219.56
  6. Step 6: Final answer
    x = 201,478.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.