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Finding the Third Proportional to 49,648.50 and 117,102.38

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Solution

The third proportional to 49,648.50 and 117,102.38 is: 276,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.50 : 117,102.38 = 117,102.38 : x
  2. Step 2: Convert to fraction form
    49,648.50/117,102.38 = 117,102.38/x
  3. Step 3: Cross multiply
    49,648.50x = 117,102.38 × 117,102.38
  4. Step 4: Simplify right side
    49,648.50x = 13,712,966,230.64
  5. Step 5: Solve for x
    x = 13,712,966,230.64/49,648.50
  6. Step 6: Final answer
    x = 276,201.02

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.