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Finding the Third Proportional to 46,993.50 and 99,226.50

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Solution

The third proportional to 46,993.50 and 99,226.50 is: 209,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,993.50 : 99,226.50 = 99,226.50 : x
  2. Step 2: Convert to fraction form
    46,993.50/99,226.50 = 99,226.50/x
  3. Step 3: Cross multiply
    46,993.50x = 99,226.50 × 99,226.50
  4. Step 4: Simplify right side
    46,993.50x = 9,845,898,302.25
  5. Step 5: Solve for x
    x = 9,845,898,302.25/46,993.50
  6. Step 6: Final answer
    x = 209,516.17

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Why These Related Problems?

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