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Finding the Third Proportional to 114,106 and 166,933.50

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Solution

The third proportional to 114,106 and 166,933.50 is: 244,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,106 : 166,933.50 = 166,933.50 : x
  2. Step 2: Convert to fraction form
    114,106/166,933.50 = 166,933.50/x
  3. Step 3: Cross multiply
    114,106x = 166,933.50 × 166,933.50
  4. Step 4: Simplify right side
    114,106x = 27,866,793,422.25
  5. Step 5: Solve for x
    x = 27,866,793,422.25/114,106
  6. Step 6: Final answer
    x = 244,218.48

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.