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Finding the Third Proportional to 42,359.77 and 91,693.34

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Solution

The third proportional to 42,359.77 and 91,693.34 is: 198,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,359.77 : 91,693.34 = 91,693.34 : x
  2. Step 2: Convert to fraction form
    42,359.77/91,693.34 = 91,693.34/x
  3. Step 3: Cross multiply
    42,359.77x = 91,693.34 × 91,693.34
  4. Step 4: Simplify right side
    42,359.77x = 8,407,667,855.35
  5. Step 5: Solve for x
    x = 8,407,667,855.35/42,359.77
  6. Step 6: Final answer
    x = 198,482.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.