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Finding the Third Proportional to 48,537.38 and 99,425.63

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Solution

The third proportional to 48,537.38 and 99,425.63 is: 203,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,537.38 : 99,425.63 = 99,425.63 : x
  2. Step 2: Convert to fraction form
    48,537.38/99,425.63 = 99,425.63/x
  3. Step 3: Cross multiply
    48,537.38x = 99,425.63 × 99,425.63
  4. Step 4: Simplify right side
    48,537.38x = 9,885,454,906.64
  5. Step 5: Solve for x
    x = 9,885,454,906.64/48,537.38
  6. Step 6: Final answer
    x = 203,666.86

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.