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Finding the Third Proportional to 46,183.50 and 99,430

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Solution

The third proportional to 46,183.50 and 99,430 is: 214,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,183.50 : 99,430 = 99,430 : x
  2. Step 2: Convert to fraction form
    46,183.50/99,430 = 99,430/x
  3. Step 3: Cross multiply
    46,183.50x = 99,430 × 99,430
  4. Step 4: Simplify right side
    46,183.50x = 9,886,324,900
  5. Step 5: Solve for x
    x = 9,886,324,900/46,183.50
  6. Step 6: Final answer
    x = 214,066.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.