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Finding the Third Proportional to 42,049.13 and 88,927.88

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Solution

The third proportional to 42,049.13 and 88,927.88 is: 188,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,049.13 : 88,927.88 = 88,927.88 : x
  2. Step 2: Convert to fraction form
    42,049.13/88,927.88 = 88,927.88/x
  3. Step 3: Cross multiply
    42,049.13x = 88,927.88 × 88,927.88
  4. Step 4: Simplify right side
    42,049.13x = 7,908,166,952.02
  5. Step 5: Solve for x
    x = 7,908,166,952.02/42,049.13
  6. Step 6: Final answer
    x = 188,069.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.