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Finding the Third Proportional to 42,419.81 and 93,245.06

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Solution

The third proportional to 42,419.81 and 93,245.06 is: 204,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,419.81 : 93,245.06 = 93,245.06 : x
  2. Step 2: Convert to fraction form
    42,419.81/93,245.06 = 93,245.06/x
  3. Step 3: Cross multiply
    42,419.81x = 93,245.06 × 93,245.06
  4. Step 4: Simplify right side
    42,419.81x = 8,694,641,680.63
  5. Step 5: Solve for x
    x = 8,694,641,680.63/42,419.81
  6. Step 6: Final answer
    x = 204,966.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.