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Finding the Third Proportional to 49,465.50 and 110,007

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Solution

The third proportional to 49,465.50 and 110,007 is: 244,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,465.50 : 110,007 = 110,007 : x
  2. Step 2: Convert to fraction form
    49,465.50/110,007 = 110,007/x
  3. Step 3: Cross multiply
    49,465.50x = 110,007 × 110,007
  4. Step 4: Simplify right side
    49,465.50x = 12,101,540,049
  5. Step 5: Solve for x
    x = 12,101,540,049/49,465.50
  6. Step 6: Final answer
    x = 244,646.07

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.