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Finding the Third Proportional to 46,923.75 and 102,109.50

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Solution

The third proportional to 46,923.75 and 102,109.50 is: 222,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,923.75 : 102,109.50 = 102,109.50 : x
  2. Step 2: Convert to fraction form
    46,923.75/102,109.50 = 102,109.50/x
  3. Step 3: Cross multiply
    46,923.75x = 102,109.50 × 102,109.50
  4. Step 4: Simplify right side
    46,923.75x = 10,426,349,990.25
  5. Step 5: Solve for x
    x = 10,426,349,990.25/46,923.75
  6. Step 6: Final answer
    x = 222,197.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.