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Finding the Third Proportional to 42,824.38 and 92,210.31

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Solution

The third proportional to 42,824.38 and 92,210.31 is: 198,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,824.38 : 92,210.31 = 92,210.31 : x
  2. Step 2: Convert to fraction form
    42,824.38/92,210.31 = 92,210.31/x
  3. Step 3: Cross multiply
    42,824.38x = 92,210.31 × 92,210.31
  4. Step 4: Simplify right side
    42,824.38x = 8,502,741,731.35
  5. Step 5: Solve for x
    x = 8,502,741,731.35/42,824.38
  6. Step 6: Final answer
    x = 198,549.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.